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Finding the Fourth Proportional to 68,158.50, 102,237.81 and 32,611.47

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Solution

The fourth proportional to 68,158.50, 102,237.81 and 32,611.47 is: 48,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,158.50 : 102,237.81 = 32,611.47 : x
  2. Step 2: Convert to fraction form
    68,158.50/102,237.81 = 32,611.47/x
  3. Step 3: Cross multiply
    68,158.50x = 102,237.81 × 32,611.47
  4. Step 4: Simplify right side
    68,158.50x = 3,334,125,532.72
  5. Step 5: Solve for x
    x = 3,334,125,532.72/68,158.50
  6. Step 6: Final answer
    x = 48,917.24

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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.