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Finding the Fourth Proportional to 47,470.52, 71,209.84 and 12,410.14

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Solution

The fourth proportional to 47,470.52, 71,209.84 and 12,410.14 is: 18,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,470.52 : 71,209.84 = 12,410.14 : x
  2. Step 2: Convert to fraction form
    47,470.52/71,209.84 = 12,410.14/x
  3. Step 3: Cross multiply
    47,470.52x = 71,209.84 × 12,410.14
  4. Step 4: Simplify right side
    47,470.52x = 883,724,083.78
  5. Step 5: Solve for x
    x = 883,724,083.78/47,470.52
  6. Step 6: Final answer
    x = 18,616.27

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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.