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Finding the Fourth Proportional to 40,382.67, 55,610.49 and 31,415.07

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Solution

The fourth proportional to 40,382.67, 55,610.49 and 31,415.07 is: 43,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,382.67 : 55,610.49 = 31,415.07 : x
  2. Step 2: Convert to fraction form
    40,382.67/55,610.49 = 31,415.07/x
  3. Step 3: Cross multiply
    40,382.67x = 55,610.49 × 31,415.07
  4. Step 4: Simplify right side
    40,382.67x = 1,747,007,436.08
  5. Step 5: Solve for x
    x = 1,747,007,436.08/40,382.67
  6. Step 6: Final answer
    x = 43,261.32

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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.