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Finding the Fourth Proportional to 81,549, 122,341.08 and 25,387.92

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Solution

The fourth proportional to 81,549, 122,341.08 and 25,387.92 is: 38,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,549 : 122,341.08 = 25,387.92 : x
  2. Step 2: Convert to fraction form
    81,549/122,341.08 = 25,387.92/x
  3. Step 3: Cross multiply
    81,549x = 122,341.08 × 25,387.92
  4. Step 4: Simplify right side
    81,549x = 3,105,985,551.75
  5. Step 5: Solve for x
    x = 3,105,985,551.75/81,549
  6. Step 6: Final answer
    x = 38,087.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.