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Finding the Fourth Proportional to 49,869.48, 74,797.74 and 22,161

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Solution

The fourth proportional to 49,869.48, 74,797.74 and 22,161 is: 33,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,869.48 : 74,797.74 = 22,161 : x
  2. Step 2: Convert to fraction form
    49,869.48/74,797.74 = 22,161/x
  3. Step 3: Cross multiply
    49,869.48x = 74,797.74 × 22,161
  4. Step 4: Simplify right side
    49,869.48x = 1,657,592,716.14
  5. Step 5: Solve for x
    x = 1,657,592,716.14/49,869.48
  6. Step 6: Final answer
    x = 33,238.62

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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.