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Finding the Fourth Proportional to 43,649.16, 65,477.16 and 14,067.87

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Solution

The fourth proportional to 43,649.16, 65,477.16 and 14,067.87 is: 21,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,649.16 : 65,477.16 = 14,067.87 : x
  2. Step 2: Convert to fraction form
    43,649.16/65,477.16 = 14,067.87/x
  3. Step 3: Cross multiply
    43,649.16x = 65,477.16 × 14,067.87
  4. Step 4: Simplify right side
    43,649.16x = 921,124,174.85
  5. Step 5: Solve for x
    x = 921,124,174.85/43,649.16
  6. Step 6: Final answer
    x = 21,102.91

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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.