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Finding the Fourth Proportional to 47,282.60, 70,919.10 and 16,117.40

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Solution

The fourth proportional to 47,282.60, 70,919.10 and 16,117.40 is: 24,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,282.60 : 70,919.10 = 16,117.40 : x
  2. Step 2: Convert to fraction form
    47,282.60/70,919.10 = 16,117.40/x
  3. Step 3: Cross multiply
    47,282.60x = 70,919.10 × 16,117.40
  4. Step 4: Simplify right side
    47,282.60x = 1,143,031,502.34
  5. Step 5: Solve for x
    x = 1,143,031,502.34/47,282.60
  6. Step 6: Final answer
    x = 24,174.46

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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.