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Finding the Fourth Proportional to 32,960.16, 49,434.86 and 9,269.33

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Solution

The fourth proportional to 32,960.16, 49,434.86 and 9,269.33 is: 13,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.16 : 49,434.86 = 9,269.33 : x
  2. Step 2: Convert to fraction form
    32,960.16/49,434.86 = 9,269.33/x
  3. Step 3: Cross multiply
    32,960.16x = 49,434.86 × 9,269.33
  4. Step 4: Simplify right side
    32,960.16x = 458,227,806.84
  5. Step 5: Solve for x
    x = 458,227,806.84/32,960.16
  6. Step 6: Final answer
    x = 13,902.48

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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.