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Finding the Fourth Proportional to 91,785.98, 137,718.43 and 49,696.13

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Solution

The fourth proportional to 91,785.98, 137,718.43 and 49,696.13 is: 74,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,785.98 : 137,718.43 = 49,696.13 : x
  2. Step 2: Convert to fraction form
    91,785.98/137,718.43 = 49,696.13/x
  3. Step 3: Cross multiply
    91,785.98x = 137,718.43 × 49,696.13
  4. Step 4: Simplify right side
    91,785.98x = 6,844,073,220.73
  5. Step 5: Solve for x
    x = 6,844,073,220.73/91,785.98
  6. Step 6: Final answer
    x = 74,565.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.