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Finding the Fourth Proportional to 45,992.98, 63,470.88 and 27,843.46

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Solution

The fourth proportional to 45,992.98, 63,470.88 and 27,843.46 is: 38,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,992.98 : 63,470.88 = 27,843.46 : x
  2. Step 2: Convert to fraction form
    45,992.98/63,470.88 = 27,843.46/x
  3. Step 3: Cross multiply
    45,992.98x = 63,470.88 × 27,843.46
  4. Step 4: Simplify right side
    45,992.98x = 1,767,248,908.44
  5. Step 5: Solve for x
    x = 1,767,248,908.44/45,992.98
  6. Step 6: Final answer
    x = 38,424.32

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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.