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Finding the Fourth Proportional to 51,685.85, 71,321.46 and 29,020.48

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Solution

The fourth proportional to 51,685.85, 71,321.46 and 29,020.48 is: 40,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,685.85 : 71,321.46 = 29,020.48 : x
  2. Step 2: Convert to fraction form
    51,685.85/71,321.46 = 29,020.48/x
  3. Step 3: Cross multiply
    51,685.85x = 71,321.46 × 29,020.48
  4. Step 4: Simplify right side
    51,685.85x = 2,069,782,879.61
  5. Step 5: Solve for x
    x = 2,069,782,879.61/51,685.85
  6. Step 6: Final answer
    x = 40,045.45

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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.