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Finding the Fourth Proportional to 52,033.76, 71,806.80 and 28,160.42

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Solution

The fourth proportional to 52,033.76, 71,806.80 and 28,160.42 is: 38,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.76 : 71,806.80 = 28,160.42 : x
  2. Step 2: Convert to fraction form
    52,033.76/71,806.80 = 28,160.42/x
  3. Step 3: Cross multiply
    52,033.76x = 71,806.80 × 28,160.42
  4. Step 4: Simplify right side
    52,033.76x = 2,022,109,646.86
  5. Step 5: Solve for x
    x = 2,022,109,646.86/52,033.76
  6. Step 6: Final answer
    x = 38,861.49

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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.