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Finding the Fourth Proportional to 77,452.86, 106,876.28 and 43,454.28

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Solution

The fourth proportional to 77,452.86, 106,876.28 and 43,454.28 is: 59,962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,452.86 : 106,876.28 = 43,454.28 : x
  2. Step 2: Convert to fraction form
    77,452.86/106,876.28 = 43,454.28/x
  3. Step 3: Cross multiply
    77,452.86x = 106,876.28 × 43,454.28
  4. Step 4: Simplify right side
    77,452.86x = 4,644,231,460.29
  5. Step 5: Solve for x
    x = 4,644,231,460.29/77,452.86
  6. Step 6: Final answer
    x = 59,962.04

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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.