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Finding the Fourth Proportional to 32,813.52, 49,222.44 and 9,440.16

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Solution

The fourth proportional to 32,813.52, 49,222.44 and 9,440.16 is: 14,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813.52 : 49,222.44 = 9,440.16 : x
  2. Step 2: Convert to fraction form
    32,813.52/49,222.44 = 9,440.16/x
  3. Step 3: Cross multiply
    32,813.52x = 49,222.44 × 9,440.16
  4. Step 4: Simplify right side
    32,813.52x = 464,667,709.19
  5. Step 5: Solve for x
    x = 464,667,709.19/32,813.52
  6. Step 6: Final answer
    x = 14,160.86

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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.