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Finding the Fourth Proportional to 75,882.67, 113,827.29 and 23,294.23

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Solution

The fourth proportional to 75,882.67, 113,827.29 and 23,294.23 is: 34,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,882.67 : 113,827.29 = 23,294.23 : x
  2. Step 2: Convert to fraction form
    75,882.67/113,827.29 = 23,294.23/x
  3. Step 3: Cross multiply
    75,882.67x = 113,827.29 × 23,294.23
  4. Step 4: Simplify right side
    75,882.67x = 2,651,519,073.54
  5. Step 5: Solve for x
    x = 2,651,519,073.54/75,882.67
  6. Step 6: Final answer
    x = 34,942.35

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Similar ratio
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1.5x scale

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.