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Finding the Fourth Proportional to 29,182.44, 43,777.98 and 10,713

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Solution

The fourth proportional to 29,182.44, 43,777.98 and 10,713 is: 16,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,182.44 : 43,777.98 = 10,713 : x
  2. Step 2: Convert to fraction form
    29,182.44/43,777.98 = 10,713/x
  3. Step 3: Cross multiply
    29,182.44x = 43,777.98 × 10,713
  4. Step 4: Simplify right side
    29,182.44x = 468,993,499.74
  5. Step 5: Solve for x
    x = 468,993,499.74/29,182.44
  6. Step 6: Final answer
    x = 16,071.09

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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.