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Finding the Fourth Proportional to 32,958.24, 49,440 and 9,584.64

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Solution

The fourth proportional to 32,958.24, 49,440 and 9,584.64 is: 14,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,958.24 : 49,440 = 9,584.64 : x
  2. Step 2: Convert to fraction form
    32,958.24/49,440 = 9,584.64/x
  3. Step 3: Cross multiply
    32,958.24x = 49,440 × 9,584.64
  4. Step 4: Simplify right side
    32,958.24x = 473,864,601.60
  5. Step 5: Solve for x
    x = 473,864,601.60/32,958.24
  6. Step 6: Final answer
    x = 14,377.73

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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.