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Finding the Fourth Proportional to 78,602.16, 108,286.56 and 54,687.72

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Solution

The fourth proportional to 78,602.16, 108,286.56 and 54,687.72 is: 75,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,602.16 : 108,286.56 = 54,687.72 : x
  2. Step 2: Convert to fraction form
    78,602.16/108,286.56 = 54,687.72/x
  3. Step 3: Cross multiply
    78,602.16x = 108,286.56 × 54,687.72
  4. Step 4: Simplify right side
    78,602.16x = 5,921,945,073.04
  5. Step 5: Solve for x
    x = 5,921,945,073.04/78,602.16
  6. Step 6: Final answer
    x = 75,340.74

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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.