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Finding the Fourth Proportional to 75,616.34, 113,410.73 and 22,297.28

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Solution

The fourth proportional to 75,616.34, 113,410.73 and 22,297.28 is: 33,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,616.34 : 113,410.73 = 22,297.28 : x
  2. Step 2: Convert to fraction form
    75,616.34/113,410.73 = 22,297.28/x
  3. Step 3: Cross multiply
    75,616.34x = 113,410.73 × 22,297.28
  4. Step 4: Simplify right side
    75,616.34x = 2,528,750,290.50
  5. Step 5: Solve for x
    x = 2,528,750,290.50/75,616.34
  6. Step 6: Final answer
    x = 33,441.85

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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.