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Finding the Fourth Proportional to 82,437.83, 123,672.78 and 35,052.38

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Solution

The fourth proportional to 82,437.83, 123,672.78 and 35,052.38 is: 52,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,437.83 : 123,672.78 = 35,052.38 : x
  2. Step 2: Convert to fraction form
    82,437.83/123,672.78 = 35,052.38/x
  3. Step 3: Cross multiply
    82,437.83x = 123,672.78 × 35,052.38
  4. Step 4: Simplify right side
    82,437.83x = 4,335,025,280.22
  5. Step 5: Solve for x
    x = 4,335,025,280.22/82,437.83
  6. Step 6: Final answer
    x = 52,585.39

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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.