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Finding the Fourth Proportional to 77,609.60, 116,317 and 33,184.12

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Solution

The fourth proportional to 77,609.60, 116,317 and 33,184.12 is: 49,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,609.60 : 116,317 = 33,184.12 : x
  2. Step 2: Convert to fraction form
    77,609.60/116,317 = 33,184.12/x
  3. Step 3: Cross multiply
    77,609.60x = 116,317 × 33,184.12
  4. Step 4: Simplify right side
    77,609.60x = 3,859,877,286.04
  5. Step 5: Solve for x
    x = 3,859,877,286.04/77,609.60
  6. Step 6: Final answer
    x = 49,734.53

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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.