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Finding the Fourth Proportional to 32,609.34, 48,912.80 and 9,235.17

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Solution

The fourth proportional to 32,609.34, 48,912.80 and 9,235.17 is: 13,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,609.34 : 48,912.80 = 9,235.17 : x
  2. Step 2: Convert to fraction form
    32,609.34/48,912.80 = 9,235.17/x
  3. Step 3: Cross multiply
    32,609.34x = 48,912.80 × 9,235.17
  4. Step 4: Simplify right side
    32,609.34x = 451,717,977.00
  5. Step 5: Solve for x
    x = 451,717,977.00/32,609.34
  6. Step 6: Final answer
    x = 13,852.41

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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.