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Finding the Fourth Proportional to 59,507.57, 82,121.79 and 32,650

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Solution

The fourth proportional to 59,507.57, 82,121.79 and 32,650 is: 45,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,507.57 : 82,121.79 = 32,650 : x
  2. Step 2: Convert to fraction form
    59,507.57/82,121.79 = 32,650/x
  3. Step 3: Cross multiply
    59,507.57x = 82,121.79 × 32,650
  4. Step 4: Simplify right side
    59,507.57x = 2,681,276,443.50
  5. Step 5: Solve for x
    x = 2,681,276,443.50/59,507.57
  6. Step 6: Final answer
    x = 45,057.74

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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.