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Finding the Fourth Proportional to 78,034.38, 117,071 and 22,630.38

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Solution

The fourth proportional to 78,034.38, 117,071 and 22,630.38 is: 33,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,034.38 : 117,071 = 22,630.38 : x
  2. Step 2: Convert to fraction form
    78,034.38/117,071 = 22,630.38/x
  3. Step 3: Cross multiply
    78,034.38x = 117,071 × 22,630.38
  4. Step 4: Simplify right side
    78,034.38x = 2,649,361,216.98
  5. Step 5: Solve for x
    x = 2,649,361,216.98/78,034.38
  6. Step 6: Final answer
    x = 33,951.20

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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.