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Finding the Fourth Proportional to 91,842.18, 137,747.10 and 25,266.24

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Solution

The fourth proportional to 91,842.18, 137,747.10 and 25,266.24 is: 37,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,842.18 : 137,747.10 = 25,266.24 : x
  2. Step 2: Convert to fraction form
    91,842.18/137,747.10 = 25,266.24/x
  3. Step 3: Cross multiply
    91,842.18x = 137,747.10 × 25,266.24
  4. Step 4: Simplify right side
    91,842.18x = 3,480,351,287.90
  5. Step 5: Solve for x
    x = 3,480,351,287.90/91,842.18
  6. Step 6: Final answer
    x = 37,894.91

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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.