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Finding the Fourth Proportional to 40,769.74, 56,262.81 and 24,634.81

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Solution

The fourth proportional to 40,769.74, 56,262.81 and 24,634.81 is: 33,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,769.74 : 56,262.81 = 24,634.81 : x
  2. Step 2: Convert to fraction form
    40,769.74/56,262.81 = 24,634.81/x
  3. Step 3: Cross multiply
    40,769.74x = 56,262.81 × 24,634.81
  4. Step 4: Simplify right side
    40,769.74x = 1,386,023,229.93
  5. Step 5: Solve for x
    x = 1,386,023,229.93/40,769.74
  6. Step 6: Final answer
    x = 33,996.38

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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.