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Finding the Fourth Proportional to 59,805, 82,534.68 and 32,947.56

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Solution

The fourth proportional to 59,805, 82,534.68 and 32,947.56 is: 45,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,805 : 82,534.68 = 32,947.56 : x
  2. Step 2: Convert to fraction form
    59,805/82,534.68 = 32,947.56/x
  3. Step 3: Cross multiply
    59,805x = 82,534.68 × 32,947.56
  4. Step 4: Simplify right side
    59,805x = 2,719,316,321.38
  5. Step 5: Solve for x
    x = 2,719,316,321.38/59,805
  6. Step 6: Final answer
    x = 45,469.72

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Why These Related Problems?

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