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Finding the Fourth Proportional to 31,156.10, 42,995.50 and 17,009.18

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Solution

The fourth proportional to 31,156.10, 42,995.50 and 17,009.18 is: 23,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156.10 : 42,995.50 = 17,009.18 : x
  2. Step 2: Convert to fraction form
    31,156.10/42,995.50 = 17,009.18/x
  3. Step 3: Cross multiply
    31,156.10x = 42,995.50 × 17,009.18
  4. Step 4: Simplify right side
    31,156.10x = 731,318,198.69
  5. Step 5: Solve for x
    x = 731,318,198.69/31,156.10
  6. Step 6: Final answer
    x = 23,472.71

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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.