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Finding the Fourth Proportional to 31,758.98, 47,638.48 and 8,385.62

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Solution

The fourth proportional to 31,758.98, 47,638.48 and 8,385.62 is: 12,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.98 : 47,638.48 = 8,385.62 : x
  2. Step 2: Convert to fraction form
    31,758.98/47,638.48 = 8,385.62/x
  3. Step 3: Cross multiply
    31,758.98x = 47,638.48 × 8,385.62
  4. Step 4: Simplify right side
    31,758.98x = 399,478,288.79
  5. Step 5: Solve for x
    x = 399,478,288.79/31,758.98
  6. Step 6: Final answer
    x = 12,578.43

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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.