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Finding the Fourth Proportional to 77,634.69, 116,476.65 and 27,713.72

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Solution

The fourth proportional to 77,634.69, 116,476.65 and 27,713.72 is: 41,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,634.69 : 116,476.65 = 27,713.72 : x
  2. Step 2: Convert to fraction form
    77,634.69/116,476.65 = 27,713.72/x
  3. Step 3: Cross multiply
    77,634.69x = 116,476.65 × 27,713.72
  4. Step 4: Simplify right side
    77,634.69x = 3,228,001,264.64
  5. Step 5: Solve for x
    x = 3,228,001,264.64/77,634.69
  6. Step 6: Final answer
    x = 41,579.37

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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.