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Finding the Fourth Proportional to 38,754.32, 53,469.18 and 22,832.96

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Solution

The fourth proportional to 38,754.32, 53,469.18 and 22,832.96 is: 31,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,754.32 : 53,469.18 = 22,832.96 : x
  2. Step 2: Convert to fraction form
    38,754.32/53,469.18 = 22,832.96/x
  3. Step 3: Cross multiply
    38,754.32x = 53,469.18 × 22,832.96
  4. Step 4: Simplify right side
    38,754.32x = 1,220,859,648.17
  5. Step 5: Solve for x
    x = 1,220,859,648.17/38,754.32
  6. Step 6: Final answer
    x = 31,502.54

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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.