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Finding the Fourth Proportional to 31,648.46, 43,675.17 and 17,501.54

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Solution

The fourth proportional to 31,648.46, 43,675.17 and 17,501.54 is: 24,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.46 : 43,675.17 = 17,501.54 : x
  2. Step 2: Convert to fraction form
    31,648.46/43,675.17 = 17,501.54/x
  3. Step 3: Cross multiply
    31,648.46x = 43,675.17 × 17,501.54
  4. Step 4: Simplify right side
    31,648.46x = 764,382,734.76
  5. Step 5: Solve for x
    x = 764,382,734.76/31,648.46
  6. Step 6: Final answer
    x = 24,152.29

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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.