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Finding the Fourth Proportional to 105,691.58, 145,850.51 and 57,943.88

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Solution

The fourth proportional to 105,691.58, 145,850.51 and 57,943.88 is: 79,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,691.58 : 145,850.51 = 57,943.88 : x
  2. Step 2: Convert to fraction form
    105,691.58/145,850.51 = 57,943.88/x
  3. Step 3: Cross multiply
    105,691.58x = 145,850.51 × 57,943.88
  4. Step 4: Simplify right side
    105,691.58x = 8,451,144,449.38
  5. Step 5: Solve for x
    x = 8,451,144,449.38/105,691.58
  6. Step 6: Final answer
    x = 79,960.43

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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.