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Finding the Fourth Proportional to 48,748, 73,122.38 and 11,812

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Solution

The fourth proportional to 48,748, 73,122.38 and 11,812 is: 17,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,748 : 73,122.38 = 11,812 : x
  2. Step 2: Convert to fraction form
    48,748/73,122.38 = 11,812/x
  3. Step 3: Cross multiply
    48,748x = 73,122.38 × 11,812
  4. Step 4: Simplify right side
    48,748x = 863,721,552.56
  5. Step 5: Solve for x
    x = 863,721,552.56/48,748
  6. Step 6: Final answer
    x = 17,718.09

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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.