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Finding the Fourth Proportional to 59,725.31, 82,420.94 and 32,867.82

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Solution

The fourth proportional to 59,725.31, 82,420.94 and 32,867.82 is: 45,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,725.31 : 82,420.94 = 32,867.82 : x
  2. Step 2: Convert to fraction form
    59,725.31/82,420.94 = 32,867.82/x
  3. Step 3: Cross multiply
    59,725.31x = 82,420.94 × 32,867.82
  4. Step 4: Simplify right side
    59,725.31x = 2,708,996,414.10
  5. Step 5: Solve for x
    x = 2,708,996,414.10/59,725.31
  6. Step 6: Final answer
    x = 45,357.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.