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Finding the Fourth Proportional to 40,470.66, 60,711.54 and 13,809.50

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Solution

The fourth proportional to 40,470.66, 60,711.54 and 13,809.50 is: 20,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,470.66 : 60,711.54 = 13,809.50 : x
  2. Step 2: Convert to fraction form
    40,470.66/60,711.54 = 13,809.50/x
  3. Step 3: Cross multiply
    40,470.66x = 60,711.54 × 13,809.50
  4. Step 4: Simplify right side
    40,470.66x = 838,396,011.63
  5. Step 5: Solve for x
    x = 838,396,011.63/40,470.66
  6. Step 6: Final answer
    x = 20,716.14

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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.