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Finding the Fourth Proportional to 31,017.54, 42,806.52 and 17,591.16

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Solution

The fourth proportional to 31,017.54, 42,806.52 and 17,591.16 is: 24,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.54 : 42,806.52 = 17,591.16 : x
  2. Step 2: Convert to fraction form
    31,017.54/42,806.52 = 17,591.16/x
  3. Step 3: Cross multiply
    31,017.54x = 42,806.52 × 17,591.16
  4. Step 4: Simplify right side
    31,017.54x = 753,016,342.36
  5. Step 5: Solve for x
    x = 753,016,342.36/31,017.54
  6. Step 6: Final answer
    x = 24,277.11

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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.