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Finding the Fourth Proportional to 52,022.94, 71,791.14 and 28,149.08

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Solution

The fourth proportional to 52,022.94, 71,791.14 and 28,149.08 is: 38,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,022.94 : 71,791.14 = 28,149.08 : x
  2. Step 2: Convert to fraction form
    52,022.94/71,791.14 = 28,149.08/x
  3. Step 3: Cross multiply
    52,022.94x = 71,791.14 × 28,149.08
  4. Step 4: Simplify right side
    52,022.94x = 2,020,854,543.15
  5. Step 5: Solve for x
    x = 2,020,854,543.15/52,022.94
  6. Step 6: Final answer
    x = 38,845.45

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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.