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Finding the Fourth Proportional to 27,294.75, 40,898.25 and 22,920.75

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Solution

The fourth proportional to 27,294.75, 40,898.25 and 22,920.75 is: 34,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294.75 : 40,898.25 = 22,920.75 : x
  2. Step 2: Convert to fraction form
    27,294.75/40,898.25 = 22,920.75/x
  3. Step 3: Cross multiply
    27,294.75x = 40,898.25 × 22,920.75
  4. Step 4: Simplify right side
    27,294.75x = 937,418,563.69
  5. Step 5: Solve for x
    x = 937,418,563.69/27,294.75
  6. Step 6: Final answer
    x = 34,344.28

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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.