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Finding the Fourth Proportional to 68,158.53, 102,187.89 and 32,122.71

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Solution

The fourth proportional to 68,158.53, 102,187.89 and 32,122.71 is: 48,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,158.53 : 102,187.89 = 32,122.71 : x
  2. Step 2: Convert to fraction form
    68,158.53/102,187.89 = 32,122.71/x
  3. Step 3: Cross multiply
    68,158.53x = 102,187.89 × 32,122.71
  4. Step 4: Simplify right side
    68,158.53x = 3,282,551,955.98
  5. Step 5: Solve for x
    x = 3,282,551,955.98/68,158.53
  6. Step 6: Final answer
    x = 48,160.55

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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.