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Finding the Fourth Proportional to 32,816.81, 49,227.81 and 16,167.76

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Solution

The fourth proportional to 32,816.81, 49,227.81 and 16,167.76 is: 24,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,816.81 : 49,227.81 = 16,167.76 : x
  2. Step 2: Convert to fraction form
    32,816.81/49,227.81 = 16,167.76/x
  3. Step 3: Cross multiply
    32,816.81x = 49,227.81 × 16,167.76
  4. Step 4: Simplify right side
    32,816.81x = 795,903,418.31
  5. Step 5: Solve for x
    x = 795,903,418.31/32,816.81
  6. Step 6: Final answer
    x = 24,252.92

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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.