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Finding the Fourth Proportional to 32,800, 45,264 and 17,896

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Solution

The fourth proportional to 32,800, 45,264 and 17,896 is: 24,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800 : 45,264 = 17,896 : x
  2. Step 2: Convert to fraction form
    32,800/45,264 = 17,896/x
  3. Step 3: Cross multiply
    32,800x = 45,264 × 17,896
  4. Step 4: Simplify right side
    32,800x = 810,044,544
  5. Step 5: Solve for x
    x = 810,044,544/32,800
  6. Step 6: Final answer
    x = 24,696.48

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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.