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Finding the Fourth Proportional to 51,744.70, 71,454.30 and 32,658.26

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Solution

The fourth proportional to 51,744.70, 71,454.30 and 32,658.26 is: 45,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,744.70 : 71,454.30 = 32,658.26 : x
  2. Step 2: Convert to fraction form
    51,744.70/71,454.30 = 32,658.26/x
  3. Step 3: Cross multiply
    51,744.70x = 71,454.30 × 32,658.26
  4. Step 4: Simplify right side
    51,744.70x = 2,333,573,107.52
  5. Step 5: Solve for x
    x = 2,333,573,107.52/51,744.70
  6. Step 6: Final answer
    x = 45,097.82

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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.