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Finding the Fourth Proportional to 31,493.84, 43,461.45 and 17,346.50

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Solution

The fourth proportional to 31,493.84, 43,461.45 and 17,346.50 is: 23,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493.84 : 43,461.45 = 17,346.50 : x
  2. Step 2: Convert to fraction form
    31,493.84/43,461.45 = 17,346.50/x
  3. Step 3: Cross multiply
    31,493.84x = 43,461.45 × 17,346.50
  4. Step 4: Simplify right side
    31,493.84x = 753,904,042.43
  5. Step 5: Solve for x
    x = 753,904,042.43/31,493.84
  6. Step 6: Final answer
    x = 23,938.14

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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.