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Finding the Fourth Proportional to 87,984.86, 131,977.42 and 21,425

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Solution

The fourth proportional to 87,984.86, 131,977.42 and 21,425 is: 32,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,984.86 : 131,977.42 = 21,425 : x
  2. Step 2: Convert to fraction form
    87,984.86/131,977.42 = 21,425/x
  3. Step 3: Cross multiply
    87,984.86x = 131,977.42 × 21,425
  4. Step 4: Simplify right side
    87,984.86x = 2,827,616,223.50
  5. Step 5: Solve for x
    x = 2,827,616,223.50/87,984.86
  6. Step 6: Final answer
    x = 32,137.53

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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.