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Finding the Fourth Proportional to 97,773.92, 146,678.20 and 34,630.72

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Solution

The fourth proportional to 97,773.92, 146,678.20 and 34,630.72 is: 51,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,773.92 : 146,678.20 = 34,630.72 : x
  2. Step 2: Convert to fraction form
    97,773.92/146,678.20 = 34,630.72/x
  3. Step 3: Cross multiply
    97,773.92x = 146,678.20 × 34,630.72
  4. Step 4: Simplify right side
    97,773.92x = 5,079,571,674.30
  5. Step 5: Solve for x
    x = 5,079,571,674.30/97,773.92
  6. Step 6: Final answer
    x = 51,952.21

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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.