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Finding the Fourth Proportional to 52,074.78, 71,863.38 and 28,201.38

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Solution

The fourth proportional to 52,074.78, 71,863.38 and 28,201.38 is: 38,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074.78 : 71,863.38 = 28,201.38 : x
  2. Step 2: Convert to fraction form
    52,074.78/71,863.38 = 28,201.38/x
  3. Step 3: Cross multiply
    52,074.78x = 71,863.38 × 28,201.38
  4. Step 4: Simplify right side
    52,074.78x = 2,026,646,487.46
  5. Step 5: Solve for x
    x = 2,026,646,487.46/52,074.78
  6. Step 6: Final answer
    x = 38,918.00

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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.