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Finding the Fourth Proportional to 31,758.80, 47,638.19 and 8,385.44

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Solution

The fourth proportional to 31,758.80, 47,638.19 and 8,385.44 is: 12,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.80 : 47,638.19 = 8,385.44 : x
  2. Step 2: Convert to fraction form
    31,758.80/47,638.19 = 8,385.44/x
  3. Step 3: Cross multiply
    31,758.80x = 47,638.19 × 8,385.44
  4. Step 4: Simplify right side
    31,758.80x = 399,467,085.82
  5. Step 5: Solve for x
    x = 399,467,085.82/31,758.80
  6. Step 6: Final answer
    x = 12,578.16

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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.