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Finding the Fourth Proportional to 32,033.29, 44,201.82 and 17,886.73

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Solution

The fourth proportional to 32,033.29, 44,201.82 and 17,886.73 is: 24,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.29 : 44,201.82 = 17,886.73 : x
  2. Step 2: Convert to fraction form
    32,033.29/44,201.82 = 17,886.73/x
  3. Step 3: Cross multiply
    32,033.29x = 44,201.82 × 17,886.73
  4. Step 4: Simplify right side
    32,033.29x = 790,626,019.85
  5. Step 5: Solve for x
    x = 790,626,019.85/32,033.29
  6. Step 6: Final answer
    x = 24,681.39

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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.