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Finding the Fourth Proportional to 56,251.91, 84,377.94 and 22,971.97

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Solution

The fourth proportional to 56,251.91, 84,377.94 and 22,971.97 is: 34,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,251.91 : 84,377.94 = 22,971.97 : x
  2. Step 2: Convert to fraction form
    56,251.91/84,377.94 = 22,971.97/x
  3. Step 3: Cross multiply
    56,251.91x = 84,377.94 × 22,971.97
  4. Step 4: Simplify right side
    56,251.91x = 1,938,327,439.25
  5. Step 5: Solve for x
    x = 1,938,327,439.25/56,251.91
  6. Step 6: Final answer
    x = 34,457.99

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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.