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Finding the Fourth Proportional to 31,493.62, 43,461.20 and 17,346.47

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Solution

The fourth proportional to 31,493.62, 43,461.20 and 17,346.47 is: 23,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493.62 : 43,461.20 = 17,346.47 : x
  2. Step 2: Convert to fraction form
    31,493.62/43,461.20 = 17,346.47/x
  3. Step 3: Cross multiply
    31,493.62x = 43,461.20 × 17,346.47
  4. Step 4: Simplify right side
    31,493.62x = 753,898,228.20
  5. Step 5: Solve for x
    x = 753,898,228.20/31,493.62
  6. Step 6: Final answer
    x = 23,938.12

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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.