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Finding the Fourth Proportional to 77,618.73, 116,330.69 and 33,193.25

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Solution

The fourth proportional to 77,618.73, 116,330.69 and 33,193.25 is: 49,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,618.73 : 116,330.69 = 33,193.25 : x
  2. Step 2: Convert to fraction form
    77,618.73/116,330.69 = 33,193.25/x
  3. Step 3: Cross multiply
    77,618.73x = 116,330.69 × 33,193.25
  4. Step 4: Simplify right side
    77,618.73x = 3,861,393,177.17
  5. Step 5: Solve for x
    x = 3,861,393,177.17/77,618.73
  6. Step 6: Final answer
    x = 49,748.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.