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Finding the Fourth Proportional to 77,634.17, 116,475.88 and 27,713.17

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Solution

The fourth proportional to 77,634.17, 116,475.88 and 27,713.17 is: 41,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,634.17 : 116,475.88 = 27,713.17 : x
  2. Step 2: Convert to fraction form
    77,634.17/116,475.88 = 27,713.17/x
  3. Step 3: Cross multiply
    77,634.17x = 116,475.88 × 27,713.17
  4. Step 4: Simplify right side
    77,634.17x = 3,227,915,863.34
  5. Step 5: Solve for x
    x = 3,227,915,863.34/77,634.17
  6. Step 6: Final answer
    x = 41,578.55

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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.