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Finding the Fourth Proportional to 70,896.32, 106,318 and 23,502.72

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Solution

The fourth proportional to 70,896.32, 106,318 and 23,502.72 is: 35,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,896.32 : 106,318 = 23,502.72 : x
  2. Step 2: Convert to fraction form
    70,896.32/106,318 = 23,502.72/x
  3. Step 3: Cross multiply
    70,896.32x = 106,318 × 23,502.72
  4. Step 4: Simplify right side
    70,896.32x = 2,498,762,184.96
  5. Step 5: Solve for x
    x = 2,498,762,184.96/70,896.32
  6. Step 6: Final answer
    x = 35,245.30

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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.