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Finding the Fourth Proportional to 52,024.80, 71,794.42 and 28,151.48

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Solution

The fourth proportional to 52,024.80, 71,794.42 and 28,151.48 is: 38,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,024.80 : 71,794.42 = 28,151.48 : x
  2. Step 2: Convert to fraction form
    52,024.80/71,794.42 = 28,151.48/x
  3. Step 3: Cross multiply
    52,024.80x = 71,794.42 × 28,151.48
  4. Step 4: Simplify right side
    52,024.80x = 2,021,119,124.19
  5. Step 5: Solve for x
    x = 2,021,119,124.19/52,024.80
  6. Step 6: Final answer
    x = 38,849.14

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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.