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Finding the Fourth Proportional to 32,709.61, 49,063.38 and 9,336.05

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Solution

The fourth proportional to 32,709.61, 49,063.38 and 9,336.05 is: 14,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.61 : 49,063.38 = 9,336.05 : x
  2. Step 2: Convert to fraction form
    32,709.61/49,063.38 = 9,336.05/x
  3. Step 3: Cross multiply
    32,709.61x = 49,063.38 × 9,336.05
  4. Step 4: Simplify right side
    32,709.61x = 458,058,168.85
  5. Step 5: Solve for x
    x = 458,058,168.85/32,709.61
  6. Step 6: Final answer
    x = 14,003.78

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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.