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Finding the Fourth Proportional to 34,578.80, 47,719.35 and 20,431.61

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Solution

The fourth proportional to 34,578.80, 47,719.35 and 20,431.61 is: 28,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,578.80 : 47,719.35 = 20,431.61 : x
  2. Step 2: Convert to fraction form
    34,578.80/47,719.35 = 20,431.61/x
  3. Step 3: Cross multiply
    34,578.80x = 47,719.35 × 20,431.61
  4. Step 4: Simplify right side
    34,578.80x = 974,982,910.06
  5. Step 5: Solve for x
    x = 974,982,910.06/34,578.80
  6. Step 6: Final answer
    x = 28,195.98

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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.