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Finding the Fourth Proportional to 52,087, 71,881.47 and 31,932.28

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Solution

The fourth proportional to 52,087, 71,881.47 and 31,932.28 is: 44,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,087 : 71,881.47 = 31,932.28 : x
  2. Step 2: Convert to fraction form
    52,087/71,881.47 = 31,932.28/x
  3. Step 3: Cross multiply
    52,087x = 71,881.47 × 31,932.28
  4. Step 4: Simplify right side
    52,087x = 2,295,339,226.85
  5. Step 5: Solve for x
    x = 2,295,339,226.85/52,087
  6. Step 6: Final answer
    x = 44,067.41

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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.