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Finding the Fourth Proportional to 31,076.40, 42,882.21 and 17,462.28

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Solution

The fourth proportional to 31,076.40, 42,882.21 and 17,462.28 is: 24,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.40 : 42,882.21 = 17,462.28 : x
  2. Step 2: Convert to fraction form
    31,076.40/42,882.21 = 17,462.28/x
  3. Step 3: Cross multiply
    31,076.40x = 42,882.21 × 17,462.28
  4. Step 4: Simplify right side
    31,076.40x = 748,820,856.32
  5. Step 5: Solve for x
    x = 748,820,856.32/31,076.40
  6. Step 6: Final answer
    x = 24,096.13

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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.