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Finding the Fourth Proportional to 38,322.40, 57,449.40 and 14,943.40

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Solution

The fourth proportional to 38,322.40, 57,449.40 and 14,943.40 is: 22,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,322.40 : 57,449.40 = 14,943.40 : x
  2. Step 2: Convert to fraction form
    38,322.40/57,449.40 = 14,943.40/x
  3. Step 3: Cross multiply
    38,322.40x = 57,449.40 × 14,943.40
  4. Step 4: Simplify right side
    38,322.40x = 858,489,363.96
  5. Step 5: Solve for x
    x = 858,489,363.96/38,322.40
  6. Step 6: Final answer
    x = 22,401.76

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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.