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Finding the Fourth Proportional to 32,468.24, 48,701.32 and 13,743.20

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Solution

The fourth proportional to 32,468.24, 48,701.32 and 13,743.20 is: 20,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.24 : 48,701.32 = 13,743.20 : x
  2. Step 2: Convert to fraction form
    32,468.24/48,701.32 = 13,743.20/x
  3. Step 3: Cross multiply
    32,468.24x = 48,701.32 × 13,743.20
  4. Step 4: Simplify right side
    32,468.24x = 669,311,981.02
  5. Step 5: Solve for x
    x = 669,311,981.02/32,468.24
  6. Step 6: Final answer
    x = 20,614.36

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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.