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Finding the Fourth Proportional to 32,709.90, 49,064.85 and 8,085.90

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Solution

The fourth proportional to 32,709.90, 49,064.85 and 8,085.90 is: 12,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.90 : 49,064.85 = 8,085.90 : x
  2. Step 2: Convert to fraction form
    32,709.90/49,064.85 = 8,085.90/x
  3. Step 3: Cross multiply
    32,709.90x = 49,064.85 × 8,085.90
  4. Step 4: Simplify right side
    32,709.90x = 396,733,470.62
  5. Step 5: Solve for x
    x = 396,733,470.62/32,709.90
  6. Step 6: Final answer
    x = 12,128.85

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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.