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Finding the Fourth Proportional to 31,493.65, 43,461.23 and 17,346.49

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Solution

The fourth proportional to 31,493.65, 43,461.23 and 17,346.49 is: 23,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493.65 : 43,461.23 = 17,346.49 : x
  2. Step 2: Convert to fraction form
    31,493.65/43,461.23 = 17,346.49/x
  3. Step 3: Cross multiply
    31,493.65x = 43,461.23 × 17,346.49
  4. Step 4: Simplify right side
    31,493.65x = 753,899,816.01
  5. Step 5: Solve for x
    x = 753,899,816.01/31,493.65
  6. Step 6: Final answer
    x = 23,938.16

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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.