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Finding the Fourth Proportional to 38,230.52, 52,757.34 and 21,463.52

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Solution

The fourth proportional to 38,230.52, 52,757.34 and 21,463.52 is: 29,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230.52 : 52,757.34 = 21,463.52 : x
  2. Step 2: Convert to fraction form
    38,230.52/52,757.34 = 21,463.52/x
  3. Step 3: Cross multiply
    38,230.52x = 52,757.34 × 21,463.52
  4. Step 4: Simplify right side
    38,230.52x = 1,132,358,222.24
  5. Step 5: Solve for x
    x = 1,132,358,222.24/38,230.52
  6. Step 6: Final answer
    x = 29,619.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.