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Finding the Fourth Proportional to 48,882, 73,323 and 17,717.28

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Solution

The fourth proportional to 48,882, 73,323 and 17,717.28 is: 26,575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,882 : 73,323 = 17,717.28 : x
  2. Step 2: Convert to fraction form
    48,882/73,323 = 17,717.28/x
  3. Step 3: Cross multiply
    48,882x = 73,323 × 17,717.28
  4. Step 4: Simplify right side
    48,882x = 1,299,084,121.44
  5. Step 5: Solve for x
    x = 1,299,084,121.44/48,882
  6. Step 6: Final answer
    x = 26,575.92

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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.