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Finding the Fourth Proportional to 82,347.30, 123,484.50 and 29,757.24

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Solution

The fourth proportional to 82,347.30, 123,484.50 and 29,757.24 is: 44,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,347.30 : 123,484.50 = 29,757.24 : x
  2. Step 2: Convert to fraction form
    82,347.30/123,484.50 = 29,757.24/x
  3. Step 3: Cross multiply
    82,347.30x = 123,484.50 × 29,757.24
  4. Step 4: Simplify right side
    82,347.30x = 3,674,557,902.78
  5. Step 5: Solve for x
    x = 3,674,557,902.78/82,347.30
  6. Step 6: Final answer
    x = 44,622.69

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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.