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Finding the Fourth Proportional to 56,338.40, 84,506.60 and 22,613

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Solution

The fourth proportional to 56,338.40, 84,506.60 and 22,613 is: 33,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,338.40 : 84,506.60 = 22,613 : x
  2. Step 2: Convert to fraction form
    56,338.40/84,506.60 = 22,613/x
  3. Step 3: Cross multiply
    56,338.40x = 84,506.60 × 22,613
  4. Step 4: Simplify right side
    56,338.40x = 1,910,947,745.80
  5. Step 5: Solve for x
    x = 1,910,947,745.80/56,338.40
  6. Step 6: Final answer
    x = 33,919.10

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Why These Related Problems?

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