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Finding the Fourth Proportional to 52,033.53, 71,806.25 and 28,160.19

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Solution

The fourth proportional to 52,033.53, 71,806.25 and 28,160.19 is: 38,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.53 : 71,806.25 = 28,160.19 : x
  2. Step 2: Convert to fraction form
    52,033.53/71,806.25 = 28,160.19/x
  3. Step 3: Cross multiply
    52,033.53x = 71,806.25 × 28,160.19
  4. Step 4: Simplify right side
    52,033.53x = 2,022,077,502.39
  5. Step 5: Solve for x
    x = 2,022,077,502.39/52,033.53
  6. Step 6: Final answer
    x = 38,861.05

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Why These Related Problems?

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