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Finding the Fourth Proportional to 83,414.32, 115,074.90 and 65,561.22

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Solution

The fourth proportional to 83,414.32, 115,074.90 and 65,561.22 is: 90,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,414.32 : 115,074.90 = 65,561.22 : x
  2. Step 2: Convert to fraction form
    83,414.32/115,074.90 = 65,561.22/x
  3. Step 3: Cross multiply
    83,414.32x = 115,074.90 × 65,561.22
  4. Step 4: Simplify right side
    83,414.32x = 7,544,450,835.38
  5. Step 5: Solve for x
    x = 7,544,450,835.38/83,414.32
  6. Step 6: Final answer
    x = 90,445.51

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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.