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Finding the Fourth Proportional to 48,855, 73,282.56 and 11,919

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Solution

The fourth proportional to 48,855, 73,282.56 and 11,919 is: 17,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,855 : 73,282.56 = 11,919 : x
  2. Step 2: Convert to fraction form
    48,855/73,282.56 = 11,919/x
  3. Step 3: Cross multiply
    48,855x = 73,282.56 × 11,919
  4. Step 4: Simplify right side
    48,855x = 873,454,832.64
  5. Step 5: Solve for x
    x = 873,454,832.64/48,855
  6. Step 6: Final answer
    x = 17,878.51

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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.