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Finding the Fourth Proportional to 77,471.49, 116,256.39 and 33,098.58

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Solution

The fourth proportional to 77,471.49, 116,256.39 and 33,098.58 is: 49,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,471.49 : 116,256.39 = 33,098.58 : x
  2. Step 2: Convert to fraction form
    77,471.49/116,256.39 = 33,098.58/x
  3. Step 3: Cross multiply
    77,471.49x = 116,256.39 × 33,098.58
  4. Step 4: Simplify right side
    77,471.49x = 3,847,921,424.93
  5. Step 5: Solve for x
    x = 3,847,921,424.93/77,471.49
  6. Step 6: Final answer
    x = 49,668.87

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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.