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Finding the Fourth Proportional to 97,487.91, 146,231.87 and 35,158.41

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Solution

The fourth proportional to 97,487.91, 146,231.87 and 35,158.41 is: 52,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,487.91 : 146,231.87 = 35,158.41 : x
  2. Step 2: Convert to fraction form
    97,487.91/146,231.87 = 35,158.41/x
  3. Step 3: Cross multiply
    97,487.91x = 146,231.87 × 35,158.41
  4. Step 4: Simplify right side
    97,487.91x = 5,141,279,864.73
  5. Step 5: Solve for x
    x = 5,141,279,864.73/97,487.91
  6. Step 6: Final answer
    x = 52,737.62

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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.