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Finding the Fourth Proportional to 29,134, 43,697.28 and 9,410.50

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Solution

The fourth proportional to 29,134, 43,697.28 and 9,410.50 is: 14,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,134 : 43,697.28 = 9,410.50 : x
  2. Step 2: Convert to fraction form
    29,134/43,697.28 = 9,410.50/x
  3. Step 3: Cross multiply
    29,134x = 43,697.28 × 9,410.50
  4. Step 4: Simplify right side
    29,134x = 411,213,253.44
  5. Step 5: Solve for x
    x = 411,213,253.44/29,134
  6. Step 6: Final answer
    x = 14,114.55

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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.