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Finding the Fourth Proportional to 31,082.74, 42,910.40 and 24,262.11

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Solution

The fourth proportional to 31,082.74, 42,910.40 and 24,262.11 is: 33,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.74 : 42,910.40 = 24,262.11 : x
  2. Step 2: Convert to fraction form
    31,082.74/42,910.40 = 24,262.11/x
  3. Step 3: Cross multiply
    31,082.74x = 42,910.40 × 24,262.11
  4. Step 4: Simplify right side
    31,082.74x = 1,041,096,844.94
  5. Step 5: Solve for x
    x = 1,041,096,844.94/31,082.74
  6. Step 6: Final answer
    x = 33,494.37

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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.