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Finding the Fourth Proportional to 71,966.60, 107,949.90 and 54,470.60

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Solution

The fourth proportional to 71,966.60, 107,949.90 and 54,470.60 is: 81,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,966.60 : 107,949.90 = 54,470.60 : x
  2. Step 2: Convert to fraction form
    71,966.60/107,949.90 = 54,470.60/x
  3. Step 3: Cross multiply
    71,966.60x = 107,949.90 × 54,470.60
  4. Step 4: Simplify right side
    71,966.60x = 5,880,095,822.94
  5. Step 5: Solve for x
    x = 5,880,095,822.94/71,966.60
  6. Step 6: Final answer
    x = 81,705.90

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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.