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Finding the Fourth Proportional to 32,544, 44,910.75 and 17,640

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Solution

The fourth proportional to 32,544, 44,910.75 and 17,640 is: 24,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,544 : 44,910.75 = 17,640 : x
  2. Step 2: Convert to fraction form
    32,544/44,910.75 = 17,640/x
  3. Step 3: Cross multiply
    32,544x = 44,910.75 × 17,640
  4. Step 4: Simplify right side
    32,544x = 792,225,630
  5. Step 5: Solve for x
    x = 792,225,630/32,544
  6. Step 6: Final answer
    x = 24,343.22

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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.