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Finding the Fourth Proportional to 38,234.40, 52,754.24 and 22,309.76

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Solution

The fourth proportional to 38,234.40, 52,754.24 and 22,309.76 is: 30,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234.40 : 52,754.24 = 22,309.76 : x
  2. Step 2: Convert to fraction form
    38,234.40/52,754.24 = 22,309.76/x
  3. Step 3: Cross multiply
    38,234.40x = 52,754.24 × 22,309.76
  4. Step 4: Simplify right side
    38,234.40x = 1,176,934,433.38
  5. Step 5: Solve for x
    x = 1,176,934,433.38/38,234.40
  6. Step 6: Final answer
    x = 30,782.08

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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.