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Finding the Fourth Proportional to 83,524.50, 125,284.32 and 30,932.82

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Solution

The fourth proportional to 83,524.50, 125,284.32 and 30,932.82 is: 46,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,524.50 : 125,284.32 = 30,932.82 : x
  2. Step 2: Convert to fraction form
    83,524.50/125,284.32 = 30,932.82/x
  3. Step 3: Cross multiply
    83,524.50x = 125,284.32 × 30,932.82
  4. Step 4: Simplify right side
    83,524.50x = 3,875,397,319.38
  5. Step 5: Solve for x
    x = 3,875,397,319.38/83,524.50
  6. Step 6: Final answer
    x = 46,398.33

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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.