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Finding the Fourth Proportional to 31,035.78, 42,754.11 and 23,064.18

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Solution

The fourth proportional to 31,035.78, 42,754.11 and 23,064.18 is: 31,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,035.78 : 42,754.11 = 23,064.18 : x
  2. Step 2: Convert to fraction form
    31,035.78/42,754.11 = 23,064.18/x
  3. Step 3: Cross multiply
    31,035.78x = 42,754.11 × 23,064.18
  4. Step 4: Simplify right side
    31,035.78x = 986,088,488.78
  5. Step 5: Solve for x
    x = 986,088,488.78/31,035.78
  6. Step 6: Final answer
    x = 31,772.63

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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.