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Finding the Fourth Proportional to 32,819.34, 49,221.81 and 9,439.50

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Solution

The fourth proportional to 32,819.34, 49,221.81 and 9,439.50 is: 14,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,819.34 : 49,221.81 = 9,439.50 : x
  2. Step 2: Convert to fraction form
    32,819.34/49,221.81 = 9,439.50/x
  3. Step 3: Cross multiply
    32,819.34x = 49,221.81 × 9,439.50
  4. Step 4: Simplify right side
    32,819.34x = 464,629,275.50
  5. Step 5: Solve for x
    x = 464,629,275.50/32,819.34
  6. Step 6: Final answer
    x = 14,157.18

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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.