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Finding the Fourth Proportional to 75,291.27, 112,715.02 and 65,949.55

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Solution

The fourth proportional to 75,291.27, 112,715.02 and 65,949.55 is: 98,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,291.27 : 112,715.02 = 65,949.55 : x
  2. Step 2: Convert to fraction form
    75,291.27/112,715.02 = 65,949.55/x
  3. Step 3: Cross multiply
    75,291.27x = 112,715.02 × 65,949.55
  4. Step 4: Simplify right side
    75,291.27x = 7,433,505,254.93
  5. Step 5: Solve for x
    x = 7,433,505,254.93/75,291.27
  6. Step 6: Final answer
    x = 98,729.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.