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Finding the Fourth Proportional to 29,244.34, 43,869.59 and 9,524.44

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Solution

The fourth proportional to 29,244.34, 43,869.59 and 9,524.44 is: 14,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,244.34 : 43,869.59 = 9,524.44 : x
  2. Step 2: Convert to fraction form
    29,244.34/43,869.59 = 9,524.44/x
  3. Step 3: Cross multiply
    29,244.34x = 43,869.59 × 9,524.44
  4. Step 4: Simplify right side
    29,244.34x = 417,833,224.12
  5. Step 5: Solve for x
    x = 417,833,224.12/29,244.34
  6. Step 6: Final answer
    x = 14,287.66

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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.