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Finding the Fourth Proportional to 59,575.62, 82,193.78 and 38,077.94

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Solution

The fourth proportional to 59,575.62, 82,193.78 and 38,077.94 is: 52,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,575.62 : 82,193.78 = 38,077.94 : x
  2. Step 2: Convert to fraction form
    59,575.62/82,193.78 = 38,077.94/x
  3. Step 3: Cross multiply
    59,575.62x = 82,193.78 × 38,077.94
  4. Step 4: Simplify right side
    59,575.62x = 3,129,769,221.85
  5. Step 5: Solve for x
    x = 3,129,769,221.85/59,575.62
  6. Step 6: Final answer
    x = 52,534.40

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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.