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Finding the Fourth Proportional to 40,661.70, 56,105.76 and 23,431.38

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Solution

The fourth proportional to 40,661.70, 56,105.76 and 23,431.38 is: 32,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,661.70 : 56,105.76 = 23,431.38 : x
  2. Step 2: Convert to fraction form
    40,661.70/56,105.76 = 23,431.38/x
  3. Step 3: Cross multiply
    40,661.70x = 56,105.76 × 23,431.38
  4. Step 4: Simplify right side
    40,661.70x = 1,314,635,382.75
  5. Step 5: Solve for x
    x = 1,314,635,382.75/40,661.70
  6. Step 6: Final answer
    x = 32,331.05

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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.