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Finding the Fourth Proportional to 48,828, 67,384.45 and 27,606

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Solution

The fourth proportional to 48,828, 67,384.45 and 27,606 is: 38,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,828 : 67,384.45 = 27,606 : x
  2. Step 2: Convert to fraction form
    48,828/67,384.45 = 27,606/x
  3. Step 3: Cross multiply
    48,828x = 67,384.45 × 27,606
  4. Step 4: Simplify right side
    48,828x = 1,860,215,126.70
  5. Step 5: Solve for x
    x = 1,860,215,126.70/48,828
  6. Step 6: Final answer
    x = 38,097.30

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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.