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Finding the Fourth Proportional to 31,073.65, 42,880.16 and 17,643.14

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Solution

The fourth proportional to 31,073.65, 42,880.16 and 17,643.14 is: 24,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.65 : 42,880.16 = 17,643.14 : x
  2. Step 2: Convert to fraction form
    31,073.65/42,880.16 = 17,643.14/x
  3. Step 3: Cross multiply
    31,073.65x = 42,880.16 × 17,643.14
  4. Step 4: Simplify right side
    31,073.65x = 756,540,817.41
  5. Step 5: Solve for x
    x = 756,540,817.41/31,073.65
  6. Step 6: Final answer
    x = 24,346.70

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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.