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Finding the Fourth Proportional to 49,524.44, 74,306.10 and 21,803

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Solution

The fourth proportional to 49,524.44, 74,306.10 and 21,803 is: 32,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,524.44 : 74,306.10 = 21,803 : x
  2. Step 2: Convert to fraction form
    49,524.44/74,306.10 = 21,803/x
  3. Step 3: Cross multiply
    49,524.44x = 74,306.10 × 21,803
  4. Step 4: Simplify right side
    49,524.44x = 1,620,095,898.30
  5. Step 5: Solve for x
    x = 1,620,095,898.30/49,524.44
  6. Step 6: Final answer
    x = 32,713.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.