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Finding the Fourth Proportional to 78,179.52, 117,286.80 and 24,874.56

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Solution

The fourth proportional to 78,179.52, 117,286.80 and 24,874.56 is: 37,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,179.52 : 117,286.80 = 24,874.56 : x
  2. Step 2: Convert to fraction form
    78,179.52/117,286.80 = 24,874.56/x
  3. Step 3: Cross multiply
    78,179.52x = 117,286.80 × 24,874.56
  4. Step 4: Simplify right side
    78,179.52x = 2,917,457,543.81
  5. Step 5: Solve for x
    x = 2,917,457,543.81/78,179.52
  6. Step 6: Final answer
    x = 37,317.41

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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.