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Finding the Fourth Proportional to 31,494.30, 43,461.06 and 17,347.14

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Solution

The fourth proportional to 31,494.30, 43,461.06 and 17,347.14 is: 23,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.30 : 43,461.06 = 17,347.14 : x
  2. Step 2: Convert to fraction form
    31,494.30/43,461.06 = 17,347.14/x
  3. Step 3: Cross multiply
    31,494.30x = 43,461.06 × 17,347.14
  4. Step 4: Simplify right side
    31,494.30x = 753,925,092.37
  5. Step 5: Solve for x
    x = 753,925,092.37/31,494.30
  6. Step 6: Final answer
    x = 23,938.46

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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.