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Finding the Fourth Proportional to 52,022.52, 71,791.60 and 28,149.66

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Solution

The fourth proportional to 52,022.52, 71,791.60 and 28,149.66 is: 38,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,022.52 : 71,791.60 = 28,149.66 : x
  2. Step 2: Convert to fraction form
    52,022.52/71,791.60 = 28,149.66/x
  3. Step 3: Cross multiply
    52,022.52x = 71,791.60 × 28,149.66
  4. Step 4: Simplify right side
    52,022.52x = 2,020,909,130.86
  5. Step 5: Solve for x
    x = 2,020,909,130.86/52,022.52
  6. Step 6: Final answer
    x = 38,846.81

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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.