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Finding the Fourth Proportional to 29,132, 43,694.28 and 9,408.50

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Solution

The fourth proportional to 29,132, 43,694.28 and 9,408.50 is: 14,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,132 : 43,694.28 = 9,408.50 : x
  2. Step 2: Convert to fraction form
    29,132/43,694.28 = 9,408.50/x
  3. Step 3: Cross multiply
    29,132x = 43,694.28 × 9,408.50
  4. Step 4: Simplify right side
    29,132x = 411,097,633.38
  5. Step 5: Solve for x
    x = 411,097,633.38/29,132
  6. Step 6: Final answer
    x = 14,111.55

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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.