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Finding the Fourth Proportional to 29,238, 43,857 and 7,350

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Solution

The fourth proportional to 29,238, 43,857 and 7,350 is: 11,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238 : 43,857 = 7,350 : x
  2. Step 2: Convert to fraction form
    29,238/43,857 = 7,350/x
  3. Step 3: Cross multiply
    29,238x = 43,857 × 7,350
  4. Step 4: Simplify right side
    29,238x = 322,348,950
  5. Step 5: Solve for x
    x = 322,348,950/29,238
  6. Step 6: Final answer
    x = 11,025

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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.