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Finding the Fourth Proportional to 32,092.96, 44,288.88 and 17,947.36

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Solution

The fourth proportional to 32,092.96, 44,288.88 and 17,947.36 is: 24,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.96 : 44,288.88 = 17,947.36 : x
  2. Step 2: Convert to fraction form
    32,092.96/44,288.88 = 17,947.36/x
  3. Step 3: Cross multiply
    32,092.96x = 44,288.88 × 17,947.36
  4. Step 4: Simplify right side
    32,092.96x = 794,868,473.36
  5. Step 5: Solve for x
    x = 794,868,473.36/32,092.96
  6. Step 6: Final answer
    x = 24,767.69

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