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Finding the Fourth Proportional to 31,908.40, 47,863.77 and 16,307.80

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Solution

The fourth proportional to 31,908.40, 47,863.77 and 16,307.80 is: 24,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.40 : 47,863.77 = 16,307.80 : x
  2. Step 2: Convert to fraction form
    31,908.40/47,863.77 = 16,307.80/x
  3. Step 3: Cross multiply
    31,908.40x = 47,863.77 × 16,307.80
  4. Step 4: Simplify right side
    31,908.40x = 780,552,788.41
  5. Step 5: Solve for x
    x = 780,552,788.41/31,908.40
  6. Step 6: Final answer
    x = 24,462.30

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