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Finding the Fourth Proportional to 52,097.45, 71,882.03 and 30,873.02

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Solution

The fourth proportional to 52,097.45, 71,882.03 and 30,873.02 is: 42,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097.45 : 71,882.03 = 30,873.02 : x
  2. Step 2: Convert to fraction form
    52,097.45/71,882.03 = 30,873.02/x
  3. Step 3: Cross multiply
    52,097.45x = 71,882.03 × 30,873.02
  4. Step 4: Simplify right side
    52,097.45x = 2,219,215,067.60
  5. Step 5: Solve for x
    x = 2,219,215,067.60/52,097.45
  6. Step 6: Final answer
    x = 42,597.39

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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.