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Finding the Fourth Proportional to 49,848, 68,713.56 and 32,822.88

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Solution

The fourth proportional to 49,848, 68,713.56 and 32,822.88 is: 45,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,848 : 68,713.56 = 32,822.88 : x
  2. Step 2: Convert to fraction form
    49,848/68,713.56 = 32,822.88/x
  3. Step 3: Cross multiply
    49,848x = 68,713.56 × 32,822.88
  4. Step 4: Simplify right side
    49,848x = 2,255,376,934.25
  5. Step 5: Solve for x
    x = 2,255,376,934.25/49,848
  6. Step 6: Final answer
    x = 45,245.08

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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.