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Finding the Fourth Proportional to 31,019.40, 42,806.16 and 16,872.48

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Solution

The fourth proportional to 31,019.40, 42,806.16 and 16,872.48 is: 23,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.40 : 42,806.16 = 16,872.48 : x
  2. Step 2: Convert to fraction form
    31,019.40/42,806.16 = 16,872.48/x
  3. Step 3: Cross multiply
    31,019.40x = 42,806.16 × 16,872.48
  4. Step 4: Simplify right side
    31,019.40x = 722,246,078.48
  5. Step 5: Solve for x
    x = 722,246,078.48/31,019.40
  6. Step 6: Final answer
    x = 23,283.69

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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.