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Finding the Fourth Proportional to 38,470.80, 57,674.20 and 16,301.20

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Solution

The fourth proportional to 38,470.80, 57,674.20 and 16,301.20 is: 24,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.80 : 57,674.20 = 16,301.20 : x
  2. Step 2: Convert to fraction form
    38,470.80/57,674.20 = 16,301.20/x
  3. Step 3: Cross multiply
    38,470.80x = 57,674.20 × 16,301.20
  4. Step 4: Simplify right side
    38,470.80x = 940,158,669.04
  5. Step 5: Solve for x
    x = 940,158,669.04/38,470.80
  6. Step 6: Final answer
    x = 24,438.24

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Why These Related Problems?

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