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Finding the Fourth Proportional to 97,569.66, 146,409.86 and 38,446.85

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Solution

The fourth proportional to 97,569.66, 146,409.86 and 38,446.85 is: 57,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,569.66 : 146,409.86 = 38,446.85 : x
  2. Step 2: Convert to fraction form
    97,569.66/146,409.86 = 38,446.85/x
  3. Step 3: Cross multiply
    97,569.66x = 146,409.86 × 38,446.85
  4. Step 4: Simplify right side
    97,569.66x = 5,628,998,099.73
  5. Step 5: Solve for x
    x = 5,628,998,099.73/97,569.66
  6. Step 6: Final answer
    x = 57,692.09

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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.