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Finding the Fourth Proportional to 77,632.17, 116,472.88 and 27,711.17

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Solution

The fourth proportional to 77,632.17, 116,472.88 and 27,711.17 is: 41,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,632.17 : 116,472.88 = 27,711.17 : x
  2. Step 2: Convert to fraction form
    77,632.17/116,472.88 = 27,711.17/x
  3. Step 3: Cross multiply
    77,632.17x = 116,472.88 × 27,711.17
  4. Step 4: Simplify right side
    77,632.17x = 3,227,599,126.43
  5. Step 5: Solve for x
    x = 3,227,599,126.43/77,632.17
  6. Step 6: Final answer
    x = 41,575.53

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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.