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Finding the Fourth Proportional to 34,624.50, 47,781.81 and 19,723.38

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Solution

The fourth proportional to 34,624.50, 47,781.81 and 19,723.38 is: 27,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,624.50 : 47,781.81 = 19,723.38 : x
  2. Step 2: Convert to fraction form
    34,624.50/47,781.81 = 19,723.38/x
  3. Step 3: Cross multiply
    34,624.50x = 47,781.81 × 19,723.38
  4. Step 4: Simplify right side
    34,624.50x = 942,418,795.72
  5. Step 5: Solve for x
    x = 942,418,795.72/34,624.50
  6. Step 6: Final answer
    x = 27,218.26

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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.