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Finding the Fourth Proportional to 70,939,502.16, 106,409,253.24 and 17,086,814.16

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Solution

The fourth proportional to 70,939,502.16, 106,409,253.24 and 17,086,814.16 is: 25,630,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,939,502.16 : 106,409,253.24 = 17,086,814.16 : x
  2. Step 2: Convert to fraction form
    70,939,502.16/106,409,253.24 = 17,086,814.16/x
  3. Step 3: Cross multiply
    70,939,502.16x = 106,409,253.24 × 17,086,814.16
  4. Step 4: Simplify right side
    70,939,502.16x = 1,818,195,135,016,257.75
  5. Step 5: Solve for x
    x = 1,818,195,135,016,257.75/70,939,502.16
  6. Step 6: Final answer
    x = 25,630,221.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.