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Finding the Fourth Proportional to 31,971, 44,121.50 and 17,823.84

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Solution

The fourth proportional to 31,971, 44,121.50 and 17,823.84 is: 24,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,971 : 44,121.50 = 17,823.84 : x
  2. Step 2: Convert to fraction form
    31,971/44,121.50 = 17,823.84/x
  3. Step 3: Cross multiply
    31,971x = 44,121.50 × 17,823.84
  4. Step 4: Simplify right side
    31,971x = 786,414,556.56
  5. Step 5: Solve for x
    x = 786,414,556.56/31,971
  6. Step 6: Final answer
    x = 24,597.75

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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.