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Finding the Fourth Proportional to 52,029.81, 71,801.16 and 36,123.48

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Solution

The fourth proportional to 52,029.81, 71,801.16 and 36,123.48 is: 49,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,029.81 : 71,801.16 = 36,123.48 : x
  2. Step 2: Convert to fraction form
    52,029.81/71,801.16 = 36,123.48/x
  3. Step 3: Cross multiply
    52,029.81x = 71,801.16 × 36,123.48
  4. Step 4: Simplify right side
    52,029.81x = 2,593,707,767.24
  5. Step 5: Solve for x
    x = 2,593,707,767.24/52,029.81
  6. Step 6: Final answer
    x = 49,850.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.