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Finding the Fourth Proportional to 30,711.65, 42,381.57 and 17,282.90

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Solution

The fourth proportional to 30,711.65, 42,381.57 and 17,282.90 is: 23,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.65 : 42,381.57 = 17,282.90 : x
  2. Step 2: Convert to fraction form
    30,711.65/42,381.57 = 17,282.90/x
  3. Step 3: Cross multiply
    30,711.65x = 42,381.57 × 17,282.90
  4. Step 4: Simplify right side
    30,711.65x = 732,476,436.15
  5. Step 5: Solve for x
    x = 732,476,436.15/30,711.65
  6. Step 6: Final answer
    x = 23,850.12

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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.