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Finding the Fourth Proportional to 41,971, 62,956.54 and 17,347.64

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Solution

The fourth proportional to 41,971, 62,956.54 and 17,347.64 is: 26,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,971 : 62,956.54 = 17,347.64 : x
  2. Step 2: Convert to fraction form
    41,971/62,956.54 = 17,347.64/x
  3. Step 3: Cross multiply
    41,971x = 62,956.54 × 17,347.64
  4. Step 4: Simplify right side
    41,971x = 1,092,147,391.57
  5. Step 5: Solve for x
    x = 1,092,147,391.57/41,971
  6. Step 6: Final answer
    x = 26,021.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.