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Finding the Fourth Proportional to 32,151.72, 48,229.74 and 13,433.16

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Solution

The fourth proportional to 32,151.72, 48,229.74 and 13,433.16 is: 20,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.72 : 48,229.74 = 13,433.16 : x
  2. Step 2: Convert to fraction form
    32,151.72/48,229.74 = 13,433.16/x
  3. Step 3: Cross multiply
    32,151.72x = 48,229.74 × 13,433.16
  4. Step 4: Simplify right side
    32,151.72x = 647,877,814.18
  5. Step 5: Solve for x
    x = 647,877,814.18/32,151.72
  6. Step 6: Final answer
    x = 20,150.64

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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.