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Finding the Fourth Proportional to 92,135.75, 138,204.41 and 25,581.07

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Solution

The fourth proportional to 92,135.75, 138,204.41 and 25,581.07 is: 38,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,135.75 : 138,204.41 = 25,581.07 : x
  2. Step 2: Convert to fraction form
    92,135.75/138,204.41 = 25,581.07/x
  3. Step 3: Cross multiply
    92,135.75x = 138,204.41 × 25,581.07
  4. Step 4: Simplify right side
    92,135.75x = 3,535,416,686.52
  5. Step 5: Solve for x
    x = 3,535,416,686.52/92,135.75
  6. Step 6: Final answer
    x = 38,371.82

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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.