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Finding the Fourth Proportional to 78,834.60, 118,251.90 and 32,063.40

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Solution

The fourth proportional to 78,834.60, 118,251.90 and 32,063.40 is: 48,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,834.60 : 118,251.90 = 32,063.40 : x
  2. Step 2: Convert to fraction form
    78,834.60/118,251.90 = 32,063.40/x
  3. Step 3: Cross multiply
    78,834.60x = 118,251.90 × 32,063.40
  4. Step 4: Simplify right side
    78,834.60x = 3,791,557,970.46
  5. Step 5: Solve for x
    x = 3,791,557,970.46/78,834.60
  6. Step 6: Final answer
    x = 48,095.10

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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.