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Finding the Fourth Proportional to 42,662.16, 63,992.97 and 22,950

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Solution

The fourth proportional to 42,662.16, 63,992.97 and 22,950 is: 34,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,662.16 : 63,992.97 = 22,950 : x
  2. Step 2: Convert to fraction form
    42,662.16/63,992.97 = 22,950/x
  3. Step 3: Cross multiply
    42,662.16x = 63,992.97 × 22,950
  4. Step 4: Simplify right side
    42,662.16x = 1,468,638,661.50
  5. Step 5: Solve for x
    x = 1,468,638,661.50/42,662.16
  6. Step 6: Final answer
    x = 34,424.85

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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.