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Finding the Fourth Proportional to 42,442.62, 63,648.87 and 12,448.50

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Solution

The fourth proportional to 42,442.62, 63,648.87 and 12,448.50 is: 18,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,442.62 : 63,648.87 = 12,448.50 : x
  2. Step 2: Convert to fraction form
    42,442.62/63,648.87 = 12,448.50/x
  3. Step 3: Cross multiply
    42,442.62x = 63,648.87 × 12,448.50
  4. Step 4: Simplify right side
    42,442.62x = 792,332,958.20
  5. Step 5: Solve for x
    x = 792,332,958.20/42,442.62
  6. Step 6: Final answer
    x = 18,668.33

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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.