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Finding the Fourth Proportional to 29,471.40, 44,202.69 and 9,750.06

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Solution

The fourth proportional to 29,471.40, 44,202.69 and 9,750.06 is: 14,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.40 : 44,202.69 = 9,750.06 : x
  2. Step 2: Convert to fraction form
    29,471.40/44,202.69 = 9,750.06/x
  3. Step 3: Cross multiply
    29,471.40x = 44,202.69 × 9,750.06
  4. Step 4: Simplify right side
    29,471.40x = 430,978,879.66
  5. Step 5: Solve for x
    x = 430,978,879.66/29,471.40
  6. Step 6: Final answer
    x = 14,623.63

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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.