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Finding the Fourth Proportional to 91,177.50, 136,759.32 and 32,017.17

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Solution

The fourth proportional to 91,177.50, 136,759.32 and 32,017.17 is: 48,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,177.50 : 136,759.32 = 32,017.17 : x
  2. Step 2: Convert to fraction form
    91,177.50/136,759.32 = 32,017.17/x
  3. Step 3: Cross multiply
    91,177.50x = 136,759.32 × 32,017.17
  4. Step 4: Simplify right side
    91,177.50x = 4,378,646,397.52
  5. Step 5: Solve for x
    x = 4,378,646,397.52/91,177.50
  6. Step 6: Final answer
    x = 48,023.32

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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.