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Finding the Fourth Proportional to 47,470.90, 71,200.95 and 12,414.10

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Solution

The fourth proportional to 47,470.90, 71,200.95 and 12,414.10 is: 18,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,470.90 : 71,200.95 = 12,414.10 : x
  2. Step 2: Convert to fraction form
    47,470.90/71,200.95 = 12,414.10/x
  3. Step 3: Cross multiply
    47,470.90x = 71,200.95 × 12,414.10
  4. Step 4: Simplify right side
    47,470.90x = 883,895,713.40
  5. Step 5: Solve for x
    x = 883,895,713.40/47,470.90
  6. Step 6: Final answer
    x = 18,619.74

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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.