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Finding the Fourth Proportional to 48,623, 67,098.06 and 27,401

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Solution

The fourth proportional to 48,623, 67,098.06 and 27,401 is: 37,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,623 : 67,098.06 = 27,401 : x
  2. Step 2: Convert to fraction form
    48,623/67,098.06 = 27,401/x
  3. Step 3: Cross multiply
    48,623x = 67,098.06 × 27,401
  4. Step 4: Simplify right side
    48,623x = 1,838,553,942.06
  5. Step 5: Solve for x
    x = 1,838,553,942.06/48,623
  6. Step 6: Final answer
    x = 37,812.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.