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Finding the Fourth Proportional to 31,598.82, 43,606.08 and 17,451.84

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Solution

The fourth proportional to 31,598.82, 43,606.08 and 17,451.84 is: 24,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.82 : 43,606.08 = 17,451.84 : x
  2. Step 2: Convert to fraction form
    31,598.82/43,606.08 = 17,451.84/x
  3. Step 3: Cross multiply
    31,598.82x = 43,606.08 × 17,451.84
  4. Step 4: Simplify right side
    31,598.82x = 761,006,331.19
  5. Step 5: Solve for x
    x = 761,006,331.19/31,598.82
  6. Step 6: Final answer
    x = 24,083.38

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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.