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Finding the Fourth Proportional to 32,212, 44,452.64 and 18,792.48

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Solution

The fourth proportional to 32,212, 44,452.64 and 18,792.48 is: 25,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212 : 44,452.64 = 18,792.48 : x
  2. Step 2: Convert to fraction form
    32,212/44,452.64 = 18,792.48/x
  3. Step 3: Cross multiply
    32,212x = 44,452.64 × 18,792.48
  4. Step 4: Simplify right side
    32,212x = 835,375,348.15
  5. Step 5: Solve for x
    x = 835,375,348.15/32,212
  6. Step 6: Final answer
    x = 25,933.67

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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.