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Finding the Fourth Proportional to 69,706.53, 104,474.16 and 32,215.86

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Solution

The fourth proportional to 69,706.53, 104,474.16 and 32,215.86 is: 48,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,706.53 : 104,474.16 = 32,215.86 : x
  2. Step 2: Convert to fraction form
    69,706.53/104,474.16 = 32,215.86/x
  3. Step 3: Cross multiply
    69,706.53x = 104,474.16 × 32,215.86
  4. Step 4: Simplify right side
    69,706.53x = 3,365,724,912.18
  5. Step 5: Solve for x
    x = 3,365,724,912.18/69,706.53
  6. Step 6: Final answer
    x = 48,284.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.