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Finding the Fourth Proportional to 47,744.64, 71,266.50 and 44,226

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Solution

The fourth proportional to 47,744.64, 71,266.50 and 44,226 is: 66,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,744.64 : 71,266.50 = 44,226 : x
  2. Step 2: Convert to fraction form
    47,744.64/71,266.50 = 44,226/x
  3. Step 3: Cross multiply
    47,744.64x = 71,266.50 × 44,226
  4. Step 4: Simplify right side
    47,744.64x = 3,151,832,229
  5. Step 5: Solve for x
    x = 3,151,832,229/47,744.64
  6. Step 6: Final answer
    x = 66,014.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.