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Finding the Fourth Proportional to 31,494.20, 43,462.11 and 17,347.01

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Solution

The fourth proportional to 31,494.20, 43,462.11 and 17,347.01 is: 23,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.20 : 43,462.11 = 17,347.01 : x
  2. Step 2: Convert to fraction form
    31,494.20/43,462.11 = 17,347.01/x
  3. Step 3: Cross multiply
    31,494.20x = 43,462.11 × 17,347.01
  4. Step 4: Simplify right side
    31,494.20x = 753,937,548.14
  5. Step 5: Solve for x
    x = 753,937,548.14/31,494.20
  6. Step 6: Final answer
    x = 23,938.94

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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.