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Finding the Fourth Proportional to 31,494.35, 43,460.24 and 17,347.20

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Solution

The fourth proportional to 31,494.35, 43,460.24 and 17,347.20 is: 23,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.35 : 43,460.24 = 17,347.20 : x
  2. Step 2: Convert to fraction form
    31,494.35/43,460.24 = 17,347.20/x
  3. Step 3: Cross multiply
    31,494.35x = 43,460.24 × 17,347.20
  4. Step 4: Simplify right side
    31,494.35x = 753,913,475.33
  5. Step 5: Solve for x
    x = 753,913,475.33/31,494.35
  6. Step 6: Final answer
    x = 23,938.05

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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.