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Finding the Fourth Proportional to 77,681.38, 107,190.87 and 43,217.95

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Solution

The fourth proportional to 77,681.38, 107,190.87 and 43,217.95 is: 59,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,681.38 : 107,190.87 = 43,217.95 : x
  2. Step 2: Convert to fraction form
    77,681.38/107,190.87 = 43,217.95/x
  3. Step 3: Cross multiply
    77,681.38x = 107,190.87 × 43,217.95
  4. Step 4: Simplify right side
    77,681.38x = 4,632,569,660.12
  5. Step 5: Solve for x
    x = 4,632,569,660.12/77,681.38
  6. Step 6: Final answer
    x = 59,635.52

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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.