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Finding the Fourth Proportional to 82,581.66, 123,872.49 and 35,833.50

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Solution

The fourth proportional to 82,581.66, 123,872.49 and 35,833.50 is: 53,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,581.66 : 123,872.49 = 35,833.50 : x
  2. Step 2: Convert to fraction form
    82,581.66/123,872.49 = 35,833.50/x
  3. Step 3: Cross multiply
    82,581.66x = 123,872.49 × 35,833.50
  4. Step 4: Simplify right side
    82,581.66x = 4,438,784,870.42
  5. Step 5: Solve for x
    x = 4,438,784,870.42/82,581.66
  6. Step 6: Final answer
    x = 53,750.25

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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.