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Finding the Fourth Proportional to 92,309.74, 138,452.30 and 25,744.30

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Solution

The fourth proportional to 92,309.74, 138,452.30 and 25,744.30 is: 38,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,309.74 : 138,452.30 = 25,744.30 : x
  2. Step 2: Convert to fraction form
    92,309.74/138,452.30 = 25,744.30/x
  3. Step 3: Cross multiply
    92,309.74x = 138,452.30 × 25,744.30
  4. Step 4: Simplify right side
    92,309.74x = 3,564,356,918.99
  5. Step 5: Solve for x
    x = 3,564,356,918.99/92,309.74
  6. Step 6: Final answer
    x = 38,613.01

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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.