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Finding the Fourth Proportional to 32,817.27, 49,228.07 and 9,443.91

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Solution

The fourth proportional to 32,817.27, 49,228.07 and 9,443.91 is: 14,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,817.27 : 49,228.07 = 9,443.91 : x
  2. Step 2: Convert to fraction form
    32,817.27/49,228.07 = 9,443.91/x
  3. Step 3: Cross multiply
    32,817.27x = 49,228.07 × 9,443.91
  4. Step 4: Simplify right side
    32,817.27x = 464,905,415.33
  5. Step 5: Solve for x
    x = 464,905,415.33/32,817.27
  6. Step 6: Final answer
    x = 14,166.49

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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.