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Finding the Fourth Proportional to 45,767.88, 63,126.99 and 27,864

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Solution

The fourth proportional to 45,767.88, 63,126.99 and 27,864 is: 38,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,767.88 : 63,126.99 = 27,864 : x
  2. Step 2: Convert to fraction form
    45,767.88/63,126.99 = 27,864/x
  3. Step 3: Cross multiply
    45,767.88x = 63,126.99 × 27,864
  4. Step 4: Simplify right side
    45,767.88x = 1,758,970,449.36
  5. Step 5: Solve for x
    x = 1,758,970,449.36/45,767.88
  6. Step 6: Final answer
    x = 38,432.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.