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Finding the Fourth Proportional to 78,930.52, 118,439.52 and 32,179.78

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Solution

The fourth proportional to 78,930.52, 118,439.52 and 32,179.78 is: 48,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,930.52 : 118,439.52 = 32,179.78 : x
  2. Step 2: Convert to fraction form
    78,930.52/118,439.52 = 32,179.78/x
  3. Step 3: Cross multiply
    78,930.52x = 118,439.52 × 32,179.78
  4. Step 4: Simplify right side
    78,930.52x = 3,811,357,696.91
  5. Step 5: Solve for x
    x = 3,811,357,696.91/78,930.52
  6. Step 6: Final answer
    x = 48,287.50

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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.