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Finding the Fourth Proportional to 59,947.46, 82,760.64 and 36,080

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Solution

The fourth proportional to 59,947.46, 82,760.64 and 36,080 is: 49,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,947.46 : 82,760.64 = 36,080 : x
  2. Step 2: Convert to fraction form
    59,947.46/82,760.64 = 36,080/x
  3. Step 3: Cross multiply
    59,947.46x = 82,760.64 × 36,080
  4. Step 4: Simplify right side
    59,947.46x = 2,986,003,891.20
  5. Step 5: Solve for x
    x = 2,986,003,891.20/59,947.46
  6. Step 6: Final answer
    x = 49,810.35

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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.