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Finding the Fourth Proportional to 32,014.32, 48,035.88 and 20,324.40

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Solution

The fourth proportional to 32,014.32, 48,035.88 and 20,324.40 is: 30,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.32 : 48,035.88 = 20,324.40 : x
  2. Step 2: Convert to fraction form
    32,014.32/48,035.88 = 20,324.40/x
  3. Step 3: Cross multiply
    32,014.32x = 48,035.88 × 20,324.40
  4. Step 4: Simplify right side
    32,014.32x = 976,300,439.47
  5. Step 5: Solve for x
    x = 976,300,439.47/32,014.32
  6. Step 6: Final answer
    x = 30,495.74

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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.