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Finding the Fourth Proportional to 82,007.30, 123,032.55 and 29,411.30

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Solution

The fourth proportional to 82,007.30, 123,032.55 and 29,411.30 is: 44,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,007.30 : 123,032.55 = 29,411.30 : x
  2. Step 2: Convert to fraction form
    82,007.30/123,032.55 = 29,411.30/x
  3. Step 3: Cross multiply
    82,007.30x = 123,032.55 × 29,411.30
  4. Step 4: Simplify right side
    82,007.30x = 3,618,547,237.82
  5. Step 5: Solve for x
    x = 3,618,547,237.82/82,007.30
  6. Step 6: Final answer
    x = 44,124.70

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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.