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Finding the Fourth Proportional to 82,404.58, 123,520.68 and 38,060.42

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Solution

The fourth proportional to 82,404.58, 123,520.68 and 38,060.42 is: 57,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,404.58 : 123,520.68 = 38,060.42 : x
  2. Step 2: Convert to fraction form
    82,404.58/123,520.68 = 38,060.42/x
  3. Step 3: Cross multiply
    82,404.58x = 123,520.68 × 38,060.42
  4. Step 4: Simplify right side
    82,404.58x = 4,701,248,959.49
  5. Step 5: Solve for x
    x = 4,701,248,959.49/82,404.58
  6. Step 6: Final answer
    x = 57,050.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.