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Finding the Fourth Proportional to 49,510.98, 68,319 and 31,616.46

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Solution

The fourth proportional to 49,510.98, 68,319 and 31,616.46 is: 43,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,510.98 : 68,319 = 31,616.46 : x
  2. Step 2: Convert to fraction form
    49,510.98/68,319 = 31,616.46/x
  3. Step 3: Cross multiply
    49,510.98x = 68,319 × 31,616.46
  4. Step 4: Simplify right side
    49,510.98x = 2,160,004,930.74
  5. Step 5: Solve for x
    x = 2,160,004,930.74/49,510.98
  6. Step 6: Final answer
    x = 43,626.79

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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.