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Finding the Fourth Proportional to 31,578.96, 43,593.14 and 20,830.17

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Solution

The fourth proportional to 31,578.96, 43,593.14 and 20,830.17 is: 28,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.96 : 43,593.14 = 20,830.17 : x
  2. Step 2: Convert to fraction form
    31,578.96/43,593.14 = 20,830.17/x
  3. Step 3: Cross multiply
    31,578.96x = 43,593.14 × 20,830.17
  4. Step 4: Simplify right side
    31,578.96x = 908,052,412.88
  5. Step 5: Solve for x
    x = 908,052,412.88/31,578.96
  6. Step 6: Final answer
    x = 28,754.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.