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Finding the Fourth Proportional to 31,494.16, 43,461.60 and 17,346.64

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Solution

The fourth proportional to 31,494.16, 43,461.60 and 17,346.64 is: 23,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.16 : 43,461.60 = 17,346.64 : x
  2. Step 2: Convert to fraction form
    31,494.16/43,461.60 = 17,346.64/x
  3. Step 3: Cross multiply
    31,494.16x = 43,461.60 × 17,346.64
  4. Step 4: Simplify right side
    31,494.16x = 753,912,729.02
  5. Step 5: Solve for x
    x = 753,912,729.02/31,494.16
  6. Step 6: Final answer
    x = 23,938.18

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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.