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Finding the Fourth Proportional to 51,822.48, 71,342.08 and 49,442

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Solution

The fourth proportional to 51,822.48, 71,342.08 and 49,442 is: 68,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,822.48 : 71,342.08 = 49,442 : x
  2. Step 2: Convert to fraction form
    51,822.48/71,342.08 = 49,442/x
  3. Step 3: Cross multiply
    51,822.48x = 71,342.08 × 49,442
  4. Step 4: Simplify right side
    51,822.48x = 3,527,295,119.36
  5. Step 5: Solve for x
    x = 3,527,295,119.36/51,822.48
  6. Step 6: Final answer
    x = 68,064.96

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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.