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Finding the Fourth Proportional to 38,643.80, 58,031.79 and 23,738.30

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Solution

The fourth proportional to 38,643.80, 58,031.79 and 23,738.30 is: 35,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.80 : 58,031.79 = 23,738.30 : x
  2. Step 2: Convert to fraction form
    38,643.80/58,031.79 = 23,738.30/x
  3. Step 3: Cross multiply
    38,643.80x = 58,031.79 × 23,738.30
  4. Step 4: Simplify right side
    38,643.80x = 1,377,576,040.56
  5. Step 5: Solve for x
    x = 1,377,576,040.56/38,643.80
  6. Step 6: Final answer
    x = 35,648.05

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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.