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Finding the Fourth Proportional to 81,284.34, 121,948.42 and 33,883.68

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Solution

The fourth proportional to 81,284.34, 121,948.42 and 33,883.68 is: 50,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,284.34 : 121,948.42 = 33,883.68 : x
  2. Step 2: Convert to fraction form
    81,284.34/121,948.42 = 33,883.68/x
  3. Step 3: Cross multiply
    81,284.34x = 121,948.42 × 33,883.68
  4. Step 4: Simplify right side
    81,284.34x = 4,132,061,239.79
  5. Step 5: Solve for x
    x = 4,132,061,239.79/81,284.34
  6. Step 6: Final answer
    x = 50,834.65

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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.