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Finding the Fourth Proportional to 42,443.70, 63,912.17 and 31,428.42

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Solution

The fourth proportional to 42,443.70, 63,912.17 and 31,428.42 is: 47,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,443.70 : 63,912.17 = 31,428.42 : x
  2. Step 2: Convert to fraction form
    42,443.70/63,912.17 = 31,428.42/x
  3. Step 3: Cross multiply
    42,443.70x = 63,912.17 × 31,428.42
  4. Step 4: Simplify right side
    42,443.70x = 2,008,658,364.73
  5. Step 5: Solve for x
    x = 2,008,658,364.73/42,443.70
  6. Step 6: Final answer
    x = 47,325.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.