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Finding the Fourth Proportional to 100,087.79, 138,171.13 and 57,638.12

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Solution

The fourth proportional to 100,087.79, 138,171.13 and 57,638.12 is: 79,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,087.79 : 138,171.13 = 57,638.12 : x
  2. Step 2: Convert to fraction form
    100,087.79/138,171.13 = 57,638.12/x
  3. Step 3: Cross multiply
    100,087.79x = 138,171.13 × 57,638.12
  4. Step 4: Simplify right side
    100,087.79x = 7,963,923,336.52
  5. Step 5: Solve for x
    x = 7,963,923,336.52/100,087.79
  6. Step 6: Final answer
    x = 79,569.38

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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.