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Finding the Fourth Proportional to 29,937.66, 44,906.13 and 10,230

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Solution

The fourth proportional to 29,937.66, 44,906.13 and 10,230 is: 15,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,937.66 : 44,906.13 = 10,230 : x
  2. Step 2: Convert to fraction form
    29,937.66/44,906.13 = 10,230/x
  3. Step 3: Cross multiply
    29,937.66x = 44,906.13 × 10,230
  4. Step 4: Simplify right side
    29,937.66x = 459,389,709.90
  5. Step 5: Solve for x
    x = 459,389,709.90/29,937.66
  6. Step 6: Final answer
    x = 15,344.88

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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.