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Finding the Fourth Proportional to 31,406.37, 43,340.82 and 17,259.24

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Solution

The fourth proportional to 31,406.37, 43,340.82 and 17,259.24 is: 23,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.37 : 43,340.82 = 17,259.24 : x
  2. Step 2: Convert to fraction form
    31,406.37/43,340.82 = 17,259.24/x
  3. Step 3: Cross multiply
    31,406.37x = 43,340.82 × 17,259.24
  4. Step 4: Simplify right side
    31,406.37x = 748,029,614.18
  5. Step 5: Solve for x
    x = 748,029,614.18/31,406.37
  6. Step 6: Final answer
    x = 23,817.77

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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.