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Finding the Fourth Proportional to 49,761.60, 74,642.40 and 34,015.20

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Solution

The fourth proportional to 49,761.60, 74,642.40 and 34,015.20 is: 51,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,761.60 : 74,642.40 = 34,015.20 : x
  2. Step 2: Convert to fraction form
    49,761.60/74,642.40 = 34,015.20/x
  3. Step 3: Cross multiply
    49,761.60x = 74,642.40 × 34,015.20
  4. Step 4: Simplify right side
    49,761.60x = 2,538,976,164.48
  5. Step 5: Solve for x
    x = 2,538,976,164.48/49,761.60
  6. Step 6: Final answer
    x = 51,022.80

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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.