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Finding the Fourth Proportional to 31,763.92, 43,833.54 and 17,616.46

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Solution

The fourth proportional to 31,763.92, 43,833.54 and 17,616.46 is: 24,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,763.92 : 43,833.54 = 17,616.46 : x
  2. Step 2: Convert to fraction form
    31,763.92/43,833.54 = 17,616.46/x
  3. Step 3: Cross multiply
    31,763.92x = 43,833.54 × 17,616.46
  4. Step 4: Simplify right side
    31,763.92x = 772,191,804.07
  5. Step 5: Solve for x
    x = 772,191,804.07/31,763.92
  6. Step 6: Final answer
    x = 24,310.34

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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.