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Finding the Fourth Proportional to 52,023.29, 71,792.01 and 28,150.38

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Solution

The fourth proportional to 52,023.29, 71,792.01 and 28,150.38 is: 38,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,023.29 : 71,792.01 = 28,150.38 : x
  2. Step 2: Convert to fraction form
    52,023.29/71,792.01 = 28,150.38/x
  3. Step 3: Cross multiply
    52,023.29x = 71,792.01 × 28,150.38
  4. Step 4: Simplify right side
    52,023.29x = 2,020,972,362.46
  5. Step 5: Solve for x
    x = 2,020,972,362.46/52,023.29
  6. Step 6: Final answer
    x = 38,847.46

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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.