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Finding the Fourth Proportional to 31,776.65, 47,671.13 and 12,069.05

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Solution

The fourth proportional to 31,776.65, 47,671.13 and 12,069.05 is: 18,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.65 : 47,671.13 = 12,069.05 : x
  2. Step 2: Convert to fraction form
    31,776.65/47,671.13 = 12,069.05/x
  3. Step 3: Cross multiply
    31,776.65x = 47,671.13 × 12,069.05
  4. Step 4: Simplify right side
    31,776.65x = 575,345,311.49
  5. Step 5: Solve for x
    x = 575,345,311.49/31,776.65
  6. Step 6: Final answer
    x = 18,105.91

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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.