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Finding the Fourth Proportional to 56,067.82, 83,930 and 36,307.06

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Solution

The fourth proportional to 56,067.82, 83,930 and 36,307.06 is: 54,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,067.82 : 83,930 = 36,307.06 : x
  2. Step 2: Convert to fraction form
    56,067.82/83,930 = 36,307.06/x
  3. Step 3: Cross multiply
    56,067.82x = 83,930 × 36,307.06
  4. Step 4: Simplify right side
    56,067.82x = 3,047,251,545.80
  5. Step 5: Solve for x
    x = 3,047,251,545.80/56,067.82
  6. Step 6: Final answer
    x = 54,349.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.