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Finding the Fourth Proportional to 32,441.62, 48,718.02 and 20,035.06

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Solution

The fourth proportional to 32,441.62, 48,718.02 and 20,035.06 is: 30,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.62 : 48,718.02 = 20,035.06 : x
  2. Step 2: Convert to fraction form
    32,441.62/48,718.02 = 20,035.06/x
  3. Step 3: Cross multiply
    32,441.62x = 48,718.02 × 20,035.06
  4. Step 4: Simplify right side
    32,441.62x = 976,068,453.78
  5. Step 5: Solve for x
    x = 976,068,453.78/32,441.62
  6. Step 6: Final answer
    x = 30,086.92

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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.