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Finding the Fourth Proportional to 82,518.60, 123,758.04 and 38,102.66

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Solution

The fourth proportional to 82,518.60, 123,758.04 and 38,102.66 is: 57,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,518.60 : 123,758.04 = 38,102.66 : x
  2. Step 2: Convert to fraction form
    82,518.60/123,758.04 = 38,102.66/x
  3. Step 3: Cross multiply
    82,518.60x = 123,758.04 × 38,102.66
  4. Step 4: Simplify right side
    82,518.60x = 4,715,510,520.39
  5. Step 5: Solve for x
    x = 4,715,510,520.39/82,518.60
  6. Step 6: Final answer
    x = 57,144.82

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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.