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Finding the Fourth Proportional to 78,466.78, 117,542.58 and 36,287.74

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Solution

The fourth proportional to 78,466.78, 117,542.58 and 36,287.74 is: 54,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466.78 : 117,542.58 = 36,287.74 : x
  2. Step 2: Convert to fraction form
    78,466.78/117,542.58 = 36,287.74/x
  3. Step 3: Cross multiply
    78,466.78x = 117,542.58 × 36,287.74
  4. Step 4: Simplify right side
    78,466.78x = 4,265,354,581.97
  5. Step 5: Solve for x
    x = 4,265,354,581.97/78,466.78
  6. Step 6: Final answer
    x = 54,358.73

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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.