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Finding the Fourth Proportional to 42,450.62, 63,588.42 and 24,867.14

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Solution

The fourth proportional to 42,450.62, 63,588.42 and 24,867.14 is: 37,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,450.62 : 63,588.42 = 24,867.14 : x
  2. Step 2: Convert to fraction form
    42,450.62/63,588.42 = 24,867.14/x
  3. Step 3: Cross multiply
    42,450.62x = 63,588.42 × 24,867.14
  4. Step 4: Simplify right side
    42,450.62x = 1,581,262,142.52
  5. Step 5: Solve for x
    x = 1,581,262,142.52/42,450.62
  6. Step 6: Final answer
    x = 37,249.45

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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.