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Finding the Fourth Proportional to 42,363, 63,544.50 and 11,198.25

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Solution

The fourth proportional to 42,363, 63,544.50 and 11,198.25 is: 16,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,363 : 63,544.50 = 11,198.25 : x
  2. Step 2: Convert to fraction form
    42,363/63,544.50 = 11,198.25/x
  3. Step 3: Cross multiply
    42,363x = 63,544.50 × 11,198.25
  4. Step 4: Simplify right side
    42,363x = 711,587,197.13
  5. Step 5: Solve for x
    x = 711,587,197.13/42,363
  6. Step 6: Final answer
    x = 16,797.38

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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.