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Finding the Fourth Proportional to 78,232.79, 117,336.78 and 24,917.85

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Solution

The fourth proportional to 78,232.79, 117,336.78 and 24,917.85 is: 37,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,232.79 : 117,336.78 = 24,917.85 : x
  2. Step 2: Convert to fraction form
    78,232.79/117,336.78 = 24,917.85/x
  3. Step 3: Cross multiply
    78,232.79x = 117,336.78 × 24,917.85
  4. Step 4: Simplify right side
    78,232.79x = 2,923,780,283.52
  5. Step 5: Solve for x
    x = 2,923,780,283.52/78,232.79
  6. Step 6: Final answer
    x = 37,372.82

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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.