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Finding the Fourth Proportional to 82,192.17, 123,358.19 and 32,307.11

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Solution

The fourth proportional to 82,192.17, 123,358.19 and 32,307.11 is: 48,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,192.17 : 123,358.19 = 32,307.11 : x
  2. Step 2: Convert to fraction form
    82,192.17/123,358.19 = 32,307.11/x
  3. Step 3: Cross multiply
    82,192.17x = 123,358.19 × 32,307.11
  4. Step 4: Simplify right side
    82,192.17x = 3,985,346,613.73
  5. Step 5: Solve for x
    x = 3,985,346,613.73/82,192.17
  6. Step 6: Final answer
    x = 48,488.15

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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.