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Finding the Fourth Proportional to 32,614.66, 48,928.06 and 10,433.62

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Solution

The fourth proportional to 32,614.66, 48,928.06 and 10,433.62 is: 15,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614.66 : 48,928.06 = 10,433.62 : x
  2. Step 2: Convert to fraction form
    32,614.66/48,928.06 = 10,433.62/x
  3. Step 3: Cross multiply
    32,614.66x = 48,928.06 × 10,433.62
  4. Step 4: Simplify right side
    32,614.66x = 510,496,540.74
  5. Step 5: Solve for x
    x = 510,496,540.74/32,614.66
  6. Step 6: Final answer
    x = 15,652.37

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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.