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Finding the Fourth Proportional to 62,977.84, 94,401.96 and 27,934

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Solution

The fourth proportional to 62,977.84, 94,401.96 and 27,934 is: 41,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,977.84 : 94,401.96 = 27,934 : x
  2. Step 2: Convert to fraction form
    62,977.84/94,401.96 = 27,934/x
  3. Step 3: Cross multiply
    62,977.84x = 94,401.96 × 27,934
  4. Step 4: Simplify right side
    62,977.84x = 2,637,024,350.64
  5. Step 5: Solve for x
    x = 2,637,024,350.64/62,977.84
  6. Step 6: Final answer
    x = 41,872.26

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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.