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Finding the Fourth Proportional to 39,262.85, 54,184.16 and 22,499.09

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Solution

The fourth proportional to 39,262.85, 54,184.16 and 22,499.09 is: 31,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,262.85 : 54,184.16 = 22,499.09 : x
  2. Step 2: Convert to fraction form
    39,262.85/54,184.16 = 22,499.09/x
  3. Step 3: Cross multiply
    39,262.85x = 54,184.16 × 22,499.09
  4. Step 4: Simplify right side
    39,262.85x = 1,219,094,315.38
  5. Step 5: Solve for x
    x = 1,219,094,315.38/39,262.85
  6. Step 6: Final answer
    x = 31,049.56

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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.