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Finding the Fourth Proportional to 31,087.29, 42,825.40 and 25,687.22

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Solution

The fourth proportional to 31,087.29, 42,825.40 and 25,687.22 is: 35,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,087.29 : 42,825.40 = 25,687.22 : x
  2. Step 2: Convert to fraction form
    31,087.29/42,825.40 = 25,687.22/x
  3. Step 3: Cross multiply
    31,087.29x = 42,825.40 × 25,687.22
  4. Step 4: Simplify right side
    31,087.29x = 1,100,065,471.39
  5. Step 5: Solve for x
    x = 1,100,065,471.39/31,087.29
  6. Step 6: Final answer
    x = 35,386.34

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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.