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Finding the Fourth Proportional to 55,687.73, 83,532.96 and 47,740.71

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Solution

The fourth proportional to 55,687.73, 83,532.96 and 47,740.71 is: 71,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,687.73 : 83,532.96 = 47,740.71 : x
  2. Step 2: Convert to fraction form
    55,687.73/83,532.96 = 47,740.71/x
  3. Step 3: Cross multiply
    55,687.73x = 83,532.96 × 47,740.71
  4. Step 4: Simplify right side
    55,687.73x = 3,987,922,818.80
  5. Step 5: Solve for x
    x = 3,987,922,818.80/55,687.73
  6. Step 6: Final answer
    x = 71,612.24

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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.