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Finding the Fourth Proportional to 29,224, 43,841.76 and 9,503.04

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Solution

The fourth proportional to 29,224, 43,841.76 and 9,503.04 is: 14,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,224 : 43,841.76 = 9,503.04 : x
  2. Step 2: Convert to fraction form
    29,224/43,841.76 = 9,503.04/x
  3. Step 3: Cross multiply
    29,224x = 43,841.76 × 9,503.04
  4. Step 4: Simplify right side
    29,224x = 416,629,998.95
  5. Step 5: Solve for x
    x = 416,629,998.95/29,224
  6. Step 6: Final answer
    x = 14,256.43

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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.