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Finding the Fourth Proportional to 38,022.66, 57,033.78 and 10,320.66

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Solution

The fourth proportional to 38,022.66, 57,033.78 and 10,320.66 is: 15,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022.66 : 57,033.78 = 10,320.66 : x
  2. Step 2: Convert to fraction form
    38,022.66/57,033.78 = 10,320.66/x
  3. Step 3: Cross multiply
    38,022.66x = 57,033.78 × 10,320.66
  4. Step 4: Simplify right side
    38,022.66x = 588,626,251.89
  5. Step 5: Solve for x
    x = 588,626,251.89/38,022.66
  6. Step 6: Final answer
    x = 15,480.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.