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Finding the Fourth Proportional to 60,727.70, 83,843.22 and 38,097.72

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Solution

The fourth proportional to 60,727.70, 83,843.22 and 38,097.72 is: 52,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,727.70 : 83,843.22 = 38,097.72 : x
  2. Step 2: Convert to fraction form
    60,727.70/83,843.22 = 38,097.72/x
  3. Step 3: Cross multiply
    60,727.70x = 83,843.22 × 38,097.72
  4. Step 4: Simplify right side
    60,727.70x = 3,194,235,519.46
  5. Step 5: Solve for x
    x = 3,194,235,519.46/60,727.70
  6. Step 6: Final answer
    x = 52,599.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.