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Finding the Fourth Proportional to 32,483.20, 48,727.88 and 9,109.56

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Solution

The fourth proportional to 32,483.20, 48,727.88 and 9,109.56 is: 13,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483.20 : 48,727.88 = 9,109.56 : x
  2. Step 2: Convert to fraction form
    32,483.20/48,727.88 = 9,109.56/x
  3. Step 3: Cross multiply
    32,483.20x = 48,727.88 × 9,109.56
  4. Step 4: Simplify right side
    32,483.20x = 443,889,546.53
  5. Step 5: Solve for x
    x = 443,889,546.53/32,483.20
  6. Step 6: Final answer
    x = 13,665.20

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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.