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Finding the Fourth Proportional to 31,497.70, 43,469.28 and 17,353.08

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Solution

The fourth proportional to 31,497.70, 43,469.28 and 17,353.08 is: 23,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.70 : 43,469.28 = 17,353.08 : x
  2. Step 2: Convert to fraction form
    31,497.70/43,469.28 = 17,353.08/x
  3. Step 3: Cross multiply
    31,497.70x = 43,469.28 × 17,353.08
  4. Step 4: Simplify right side
    31,497.70x = 754,325,893.38
  5. Step 5: Solve for x
    x = 754,325,893.38/31,497.70
  6. Step 6: Final answer
    x = 23,948.60

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1.5x scale

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.