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Finding the Fourth Proportional to 49,348.71, 74,022.38 and 11,908.47

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Solution

The fourth proportional to 49,348.71, 74,022.38 and 11,908.47 is: 17,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,348.71 : 74,022.38 = 11,908.47 : x
  2. Step 2: Convert to fraction form
    49,348.71/74,022.38 = 11,908.47/x
  3. Step 3: Cross multiply
    49,348.71x = 74,022.38 × 11,908.47
  4. Step 4: Simplify right side
    49,348.71x = 881,493,232.02
  5. Step 5: Solve for x
    x = 881,493,232.02/49,348.71
  6. Step 6: Final answer
    x = 17,862.54

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