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Finding the Fourth Proportional to 31,086.29, 42,824.02 and 25,686.22

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Solution

The fourth proportional to 31,086.29, 42,824.02 and 25,686.22 is: 35,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.29 : 42,824.02 = 25,686.22 : x
  2. Step 2: Convert to fraction form
    31,086.29/42,824.02 = 25,686.22/x
  3. Step 3: Cross multiply
    31,086.29x = 42,824.02 × 25,686.22
  4. Step 4: Simplify right side
    31,086.29x = 1,099,987,199.00
  5. Step 5: Solve for x
    x = 1,099,987,199.00/31,086.29
  6. Step 6: Final answer
    x = 35,384.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.