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Finding the Fourth Proportional to 31,598.82, 43,606.38 and 17,451.66

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Solution

The fourth proportional to 31,598.82, 43,606.38 and 17,451.66 is: 24,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.82 : 43,606.38 = 17,451.66 : x
  2. Step 2: Convert to fraction form
    31,598.82/43,606.38 = 17,451.66/x
  3. Step 3: Cross multiply
    31,598.82x = 43,606.38 × 17,451.66
  4. Step 4: Simplify right side
    31,598.82x = 761,003,717.59
  5. Step 5: Solve for x
    x = 761,003,717.59/31,598.82
  6. Step 6: Final answer
    x = 24,083.30

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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.