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Finding the Fourth Proportional to 40,805.92, 56,317.82 and 22,902

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Solution

The fourth proportional to 40,805.92, 56,317.82 and 22,902 is: 31,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,805.92 : 56,317.82 = 22,902 : x
  2. Step 2: Convert to fraction form
    40,805.92/56,317.82 = 22,902/x
  3. Step 3: Cross multiply
    40,805.92x = 56,317.82 × 22,902
  4. Step 4: Simplify right side
    40,805.92x = 1,289,790,713.64
  5. Step 5: Solve for x
    x = 1,289,790,713.64/40,805.92
  6. Step 6: Final answer
    x = 31,607.93

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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.