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Finding the Fourth Proportional to 82,537.17, 123,813.95 and 29,950.76

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Solution

The fourth proportional to 82,537.17, 123,813.95 and 29,950.76 is: 44,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,537.17 : 123,813.95 = 29,950.76 : x
  2. Step 2: Convert to fraction form
    82,537.17/123,813.95 = 29,950.76/x
  3. Step 3: Cross multiply
    82,537.17x = 123,813.95 × 29,950.76
  4. Step 4: Simplify right side
    82,537.17x = 3,708,321,132.28
  5. Step 5: Solve for x
    x = 3,708,321,132.28/82,537.17
  6. Step 6: Final answer
    x = 44,929.10

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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.