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Finding the Fourth Proportional to 92,245.89, 138,265.14 and 45,531.57

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Solution

The fourth proportional to 92,245.89, 138,265.14 and 45,531.57 is: 68,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,245.89 : 138,265.14 = 45,531.57 : x
  2. Step 2: Convert to fraction form
    92,245.89/138,265.14 = 45,531.57/x
  3. Step 3: Cross multiply
    92,245.89x = 138,265.14 × 45,531.57
  4. Step 4: Simplify right side
    92,245.89x = 6,295,428,900.47
  5. Step 5: Solve for x
    x = 6,295,428,900.47/92,245.89
  6. Step 6: Final answer
    x = 68,246.17

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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.