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Finding the Fourth Proportional to 31,782.09, 47,675.42 and 8,408.25

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Solution

The fourth proportional to 31,782.09, 47,675.42 and 8,408.25 is: 12,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.09 : 47,675.42 = 8,408.25 : x
  2. Step 2: Convert to fraction form
    31,782.09/47,675.42 = 8,408.25/x
  3. Step 3: Cross multiply
    31,782.09x = 47,675.42 × 8,408.25
  4. Step 4: Simplify right side
    31,782.09x = 400,866,808.17
  5. Step 5: Solve for x
    x = 400,866,808.17/31,782.09
  6. Step 6: Final answer
    x = 12,612.98

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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.