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Finding the Fourth Proportional to 60,772.65, 83,864.07 and 38,123.84

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Solution

The fourth proportional to 60,772.65, 83,864.07 and 38,123.84 is: 52,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,772.65 : 83,864.07 = 38,123.84 : x
  2. Step 2: Convert to fraction form
    60,772.65/83,864.07 = 38,123.84/x
  3. Step 3: Cross multiply
    60,772.65x = 83,864.07 × 38,123.84
  4. Step 4: Simplify right side
    60,772.65x = 3,197,219,967.11
  5. Step 5: Solve for x
    x = 3,197,219,967.11/60,772.65
  6. Step 6: Final answer
    x = 52,609.52

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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.