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Finding the Fourth Proportional to 32,002.46, 48,009.15 and 14,239.43

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Solution

The fourth proportional to 32,002.46, 48,009.15 and 14,239.43 is: 21,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.46 : 48,009.15 = 14,239.43 : x
  2. Step 2: Convert to fraction form
    32,002.46/48,009.15 = 14,239.43/x
  3. Step 3: Cross multiply
    32,002.46x = 48,009.15 × 14,239.43
  4. Step 4: Simplify right side
    32,002.46x = 683,622,930.78
  5. Step 5: Solve for x
    x = 683,622,930.78/32,002.46
  6. Step 6: Final answer
    x = 21,361.57

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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.