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Finding the Fourth Proportional to 42,467.70, 63,948.39 and 31,452.42

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Solution

The fourth proportional to 42,467.70, 63,948.39 and 31,452.42 is: 47,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,467.70 : 63,948.39 = 31,452.42 : x
  2. Step 2: Convert to fraction form
    42,467.70/63,948.39 = 31,452.42/x
  3. Step 3: Cross multiply
    42,467.70x = 63,948.39 × 31,452.42
  4. Step 4: Simplify right side
    42,467.70x = 2,011,331,620.60
  5. Step 5: Solve for x
    x = 2,011,331,620.60/42,467.70
  6. Step 6: Final answer
    x = 47,361.44

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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.