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Finding the Fourth Proportional to 32,998.32, 49,485.24 and 13,270.14

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Solution

The fourth proportional to 32,998.32, 49,485.24 and 13,270.14 is: 19,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998.32 : 49,485.24 = 13,270.14 : x
  2. Step 2: Convert to fraction form
    32,998.32/49,485.24 = 13,270.14/x
  3. Step 3: Cross multiply
    32,998.32x = 49,485.24 × 13,270.14
  4. Step 4: Simplify right side
    32,998.32x = 656,676,062.73
  5. Step 5: Solve for x
    x = 656,676,062.73/32,998.32
  6. Step 6: Final answer
    x = 19,900.29

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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.