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Finding the Fourth Proportional to 78,354.90, 108,129.42 and 42,544.62

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Solution

The fourth proportional to 78,354.90, 108,129.42 and 42,544.62 is: 58,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,354.90 : 108,129.42 = 42,544.62 : x
  2. Step 2: Convert to fraction form
    78,354.90/108,129.42 = 42,544.62/x
  3. Step 3: Cross multiply
    78,354.90x = 108,129.42 × 42,544.62
  4. Step 4: Simplify right side
    78,354.90x = 4,600,325,084.72
  5. Step 5: Solve for x
    x = 4,600,325,084.72/78,354.90
  6. Step 6: Final answer
    x = 58,711.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.