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Finding the Fourth Proportional to 42,469.70, 63,951.40 and 31,454.42

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Solution

The fourth proportional to 42,469.70, 63,951.40 and 31,454.42 is: 47,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,469.70 : 63,951.40 = 31,454.42 : x
  2. Step 2: Convert to fraction form
    42,469.70/63,951.40 = 31,454.42/x
  3. Step 3: Cross multiply
    42,469.70x = 63,951.40 × 31,454.42
  4. Step 4: Simplify right side
    42,469.70x = 2,011,554,195.19
  5. Step 5: Solve for x
    x = 2,011,554,195.19/42,469.70
  6. Step 6: Final answer
    x = 47,364.46

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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.