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Finding the Fourth Proportional to 47,163.99, 65,057.84 and 29,017.81

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Solution

The fourth proportional to 47,163.99, 65,057.84 and 29,017.81 is: 40,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,163.99 : 65,057.84 = 29,017.81 : x
  2. Step 2: Convert to fraction form
    47,163.99/65,057.84 = 29,017.81/x
  3. Step 3: Cross multiply
    47,163.99x = 65,057.84 × 29,017.81
  4. Step 4: Simplify right side
    47,163.99x = 1,887,836,040.13
  5. Step 5: Solve for x
    x = 1,887,836,040.13/47,163.99
  6. Step 6: Final answer
    x = 40,027.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.