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Finding the Fourth Proportional to 40,502.09, 55,892.75 and 22,597.09

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Solution

The fourth proportional to 40,502.09, 55,892.75 and 22,597.09 is: 31,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,502.09 : 55,892.75 = 22,597.09 : x
  2. Step 2: Convert to fraction form
    40,502.09/55,892.75 = 22,597.09/x
  3. Step 3: Cross multiply
    40,502.09x = 55,892.75 × 22,597.09
  4. Step 4: Simplify right side
    40,502.09x = 1,263,013,249.38
  5. Step 5: Solve for x
    x = 1,263,013,249.38/40,502.09
  6. Step 6: Final answer
    x = 31,183.90

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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.