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Finding the Fourth Proportional to 105,686.43, 145,844.11 and 57,938.14

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Solution

The fourth proportional to 105,686.43, 145,844.11 and 57,938.14 is: 79,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,686.43 : 145,844.11 = 57,938.14 : x
  2. Step 2: Convert to fraction form
    105,686.43/145,844.11 = 57,938.14/x
  3. Step 3: Cross multiply
    105,686.43x = 145,844.11 × 57,938.14
  4. Step 4: Simplify right side
    105,686.43x = 8,449,936,463.36
  5. Step 5: Solve for x
    x = 8,449,936,463.36/105,686.43
  6. Step 6: Final answer
    x = 79,952.90

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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.