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Finding the Fourth Proportional to 32,906.40, 49,331.79 and 13,174.13

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Solution

The fourth proportional to 32,906.40, 49,331.79 and 13,174.13 is: 19,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.40 : 49,331.79 = 13,174.13 : x
  2. Step 2: Convert to fraction form
    32,906.40/49,331.79 = 13,174.13/x
  3. Step 3: Cross multiply
    32,906.40x = 49,331.79 × 13,174.13
  4. Step 4: Simplify right side
    32,906.40x = 649,903,167.93
  5. Step 5: Solve for x
    x = 649,903,167.93/32,906.40
  6. Step 6: Final answer
    x = 19,750.05

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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.