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Finding the Fourth Proportional to 32,517.81, 48,501.97 and 31,533.39

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Solution

The fourth proportional to 32,517.81, 48,501.97 and 31,533.39 is: 47,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.81 : 48,501.97 = 31,533.39 : x
  2. Step 2: Convert to fraction form
    32,517.81/48,501.97 = 31,533.39/x
  3. Step 3: Cross multiply
    32,517.81x = 48,501.97 × 31,533.39
  4. Step 4: Simplify right side
    32,517.81x = 1,529,431,456.94
  5. Step 5: Solve for x
    x = 1,529,431,456.94/32,517.81
  6. Step 6: Final answer
    x = 47,033.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.