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Finding the Fourth Proportional to 31,158.50, 42,986.43 and 19,201.01

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Solution

The fourth proportional to 31,158.50, 42,986.43 and 19,201.01 is: 26,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158.50 : 42,986.43 = 19,201.01 : x
  2. Step 2: Convert to fraction form
    31,158.50/42,986.43 = 19,201.01/x
  3. Step 3: Cross multiply
    31,158.50x = 42,986.43 × 19,201.01
  4. Step 4: Simplify right side
    31,158.50x = 825,382,657.36
  5. Step 5: Solve for x
    x = 825,382,657.36/31,158.50
  6. Step 6: Final answer
    x = 26,489.81

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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.