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Finding the Fourth Proportional to 52,033.92, 71,806.14 and 28,160.07

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Solution

The fourth proportional to 52,033.92, 71,806.14 and 28,160.07 is: 38,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.92 : 71,806.14 = 28,160.07 : x
  2. Step 2: Convert to fraction form
    52,033.92/71,806.14 = 28,160.07/x
  3. Step 3: Cross multiply
    52,033.92x = 71,806.14 × 28,160.07
  4. Step 4: Simplify right side
    52,033.92x = 2,022,065,928.83
  5. Step 5: Solve for x
    x = 2,022,065,928.83/52,033.92
  6. Step 6: Final answer
    x = 38,860.53

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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.