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Finding the Fourth Proportional to 78,248.69, 117,370.94 and 22,092.65

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Solution

The fourth proportional to 78,248.69, 117,370.94 and 22,092.65 is: 33,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,248.69 : 117,370.94 = 22,092.65 : x
  2. Step 2: Convert to fraction form
    78,248.69/117,370.94 = 22,092.65/x
  3. Step 3: Cross multiply
    78,248.69x = 117,370.94 × 22,092.65
  4. Step 4: Simplify right side
    78,248.69x = 2,593,034,400.27
  5. Step 5: Solve for x
    x = 2,593,034,400.27/78,248.69
  6. Step 6: Final answer
    x = 33,138.38

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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.