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Finding the Fourth Proportional to 38,422.36, 57,642.05 and 15,049

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Solution

The fourth proportional to 38,422.36, 57,642.05 and 15,049 is: 22,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.36 : 57,642.05 = 15,049 : x
  2. Step 2: Convert to fraction form
    38,422.36/57,642.05 = 15,049/x
  3. Step 3: Cross multiply
    38,422.36x = 57,642.05 × 15,049
  4. Step 4: Simplify right side
    38,422.36x = 867,455,210.45
  5. Step 5: Solve for x
    x = 867,455,210.45/38,422.36
  6. Step 6: Final answer
    x = 22,576.83

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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.