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Finding the Fourth Proportional to 49,191.68, 67,894.59 and 31,283.22

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Solution

The fourth proportional to 49,191.68, 67,894.59 and 31,283.22 is: 43,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,191.68 : 67,894.59 = 31,283.22 : x
  2. Step 2: Convert to fraction form
    49,191.68/67,894.59 = 31,283.22/x
  3. Step 3: Cross multiply
    49,191.68x = 67,894.59 × 31,283.22
  4. Step 4: Simplify right side
    49,191.68x = 2,123,961,395.78
  5. Step 5: Solve for x
    x = 2,123,961,395.78/49,191.68
  6. Step 6: Final answer
    x = 43,177.25

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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.