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Finding the Fourth Proportional to 32,162.49, 48,244.02 and 13,197.57

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Solution

The fourth proportional to 32,162.49, 48,244.02 and 13,197.57 is: 19,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.49 : 48,244.02 = 13,197.57 : x
  2. Step 2: Convert to fraction form
    32,162.49/48,244.02 = 13,197.57/x
  3. Step 3: Cross multiply
    32,162.49x = 48,244.02 × 13,197.57
  4. Step 4: Simplify right side
    32,162.49x = 636,703,831.03
  5. Step 5: Solve for x
    x = 636,703,831.03/32,162.49
  6. Step 6: Final answer
    x = 19,796.47

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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.