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Finding the Fourth Proportional to 47,616.71, 71,434.49 and 14,335.11

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Solution

The fourth proportional to 47,616.71, 71,434.49 and 14,335.11 is: 21,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,616.71 : 71,434.49 = 14,335.11 : x
  2. Step 2: Convert to fraction form
    47,616.71/71,434.49 = 14,335.11/x
  3. Step 3: Cross multiply
    47,616.71x = 71,434.49 × 14,335.11
  4. Step 4: Simplify right side
    47,616.71x = 1,024,021,200.27
  5. Step 5: Solve for x
    x = 1,024,021,200.27/47,616.71
  6. Step 6: Final answer
    x = 21,505.50

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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.