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Finding the Fourth Proportional to 75,074.98, 112,613.20 and 30,671.38

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Solution

The fourth proportional to 75,074.98, 112,613.20 and 30,671.38 is: 46,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,074.98 : 112,613.20 = 30,671.38 : x
  2. Step 2: Convert to fraction form
    75,074.98/112,613.20 = 30,671.38/x
  3. Step 3: Cross multiply
    75,074.98x = 112,613.20 × 30,671.38
  4. Step 4: Simplify right side
    75,074.98x = 3,454,002,250.22
  5. Step 5: Solve for x
    x = 3,454,002,250.22/75,074.98
  6. Step 6: Final answer
    x = 46,007.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.