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Finding the Fourth Proportional to 32,005.38, 44,175.33 and 19,440.66

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Solution

The fourth proportional to 32,005.38, 44,175.33 and 19,440.66 is: 26,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.38 : 44,175.33 = 19,440.66 : x
  2. Step 2: Convert to fraction form
    32,005.38/44,175.33 = 19,440.66/x
  3. Step 3: Cross multiply
    32,005.38x = 44,175.33 × 19,440.66
  4. Step 4: Simplify right side
    32,005.38x = 858,797,570.92
  5. Step 5: Solve for x
    x = 858,797,570.92/32,005.38
  6. Step 6: Final answer
    x = 26,832.91

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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.