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Finding the Fourth Proportional to 77,187.38, 106,523.07 and 43,195.57

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Solution

The fourth proportional to 77,187.38, 106,523.07 and 43,195.57 is: 59,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,187.38 : 106,523.07 = 43,195.57 : x
  2. Step 2: Convert to fraction form
    77,187.38/106,523.07 = 43,195.57/x
  3. Step 3: Cross multiply
    77,187.38x = 106,523.07 × 43,195.57
  4. Step 4: Simplify right side
    77,187.38x = 4,601,324,726.80
  5. Step 5: Solve for x
    x = 4,601,324,726.80/77,187.38
  6. Step 6: Final answer
    x = 59,612.40

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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.