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Finding the Fourth Proportional to 32,322, 44,604.90 and 21,144

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Solution

The fourth proportional to 32,322, 44,604.90 and 21,144 is: 29,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322 : 44,604.90 = 21,144 : x
  2. Step 2: Convert to fraction form
    32,322/44,604.90 = 21,144/x
  3. Step 3: Cross multiply
    32,322x = 44,604.90 × 21,144
  4. Step 4: Simplify right side
    32,322x = 943,126,005.60
  5. Step 5: Solve for x
    x = 943,126,005.60/32,322
  6. Step 6: Final answer
    x = 29,179.07

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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.