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Finding the Fourth Proportional to 31,885.40, 44,002.40 and 17,738.24

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Solution

The fourth proportional to 31,885.40, 44,002.40 and 17,738.24 is: 24,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.40 : 44,002.40 = 17,738.24 : x
  2. Step 2: Convert to fraction form
    31,885.40/44,002.40 = 17,738.24/x
  3. Step 3: Cross multiply
    31,885.40x = 44,002.40 × 17,738.24
  4. Step 4: Simplify right side
    31,885.40x = 780,525,131.78
  5. Step 5: Solve for x
    x = 780,525,131.78/31,885.40
  6. Step 6: Final answer
    x = 24,479.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.