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Finding the Fourth Proportional to 40,150.75, 55,434.02 and 25,817

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Solution

The fourth proportional to 40,150.75, 55,434.02 and 25,817 is: 35,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,150.75 : 55,434.02 = 25,817 : x
  2. Step 2: Convert to fraction form
    40,150.75/55,434.02 = 25,817/x
  3. Step 3: Cross multiply
    40,150.75x = 55,434.02 × 25,817
  4. Step 4: Simplify right side
    40,150.75x = 1,431,139,965.26
  5. Step 5: Solve for x
    x = 1,431,139,965.26/40,150.75
  6. Step 6: Final answer
    x = 35,644.17

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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.