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Finding the Fourth Proportional to 34,957.50, 52,394.59 and 20,135.71

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Solution

The fourth proportional to 34,957.50, 52,394.59 and 20,135.71 is: 30,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,957.50 : 52,394.59 = 20,135.71 : x
  2. Step 2: Convert to fraction form
    34,957.50/52,394.59 = 20,135.71/x
  3. Step 3: Cross multiply
    34,957.50x = 52,394.59 × 20,135.71
  4. Step 4: Simplify right side
    34,957.50x = 1,055,002,269.81
  5. Step 5: Solve for x
    x = 1,055,002,269.81/34,957.50
  6. Step 6: Final answer
    x = 30,179.57

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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.