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Finding the Fourth Proportional to 97,774.92, 146,679.70 and 34,631.72

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Solution

The fourth proportional to 97,774.92, 146,679.70 and 34,631.72 is: 51,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,774.92 : 146,679.70 = 34,631.72 : x
  2. Step 2: Convert to fraction form
    97,774.92/146,679.70 = 34,631.72/x
  3. Step 3: Cross multiply
    97,774.92x = 146,679.70 × 34,631.72
  4. Step 4: Simplify right side
    97,774.92x = 5,079,770,300.08
  5. Step 5: Solve for x
    x = 5,079,770,300.08/97,774.92
  6. Step 6: Final answer
    x = 51,953.71

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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.