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Finding the Fourth Proportional to 29,906.10, 44,859.15 and 10,185.30

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Solution

The fourth proportional to 29,906.10, 44,859.15 and 10,185.30 is: 15,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906.10 : 44,859.15 = 10,185.30 : x
  2. Step 2: Convert to fraction form
    29,906.10/44,859.15 = 10,185.30/x
  3. Step 3: Cross multiply
    29,906.10x = 44,859.15 × 10,185.30
  4. Step 4: Simplify right side
    29,906.10x = 456,903,900.50
  5. Step 5: Solve for x
    x = 456,903,900.50/29,906.10
  6. Step 6: Final answer
    x = 15,277.95

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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.