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Finding the Fourth Proportional to 27,109.98, 40,689.27 and 22,695.30

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Solution

The fourth proportional to 27,109.98, 40,689.27 and 22,695.30 is: 34,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.98 : 40,689.27 = 22,695.30 : x
  2. Step 2: Convert to fraction form
    27,109.98/40,689.27 = 22,695.30/x
  3. Step 3: Cross multiply
    27,109.98x = 40,689.27 × 22,695.30
  4. Step 4: Simplify right side
    27,109.98x = 923,455,189.43
  5. Step 5: Solve for x
    x = 923,455,189.43/27,109.98
  6. Step 6: Final answer
    x = 34,063.29

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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.