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Finding the Fourth Proportional to 95,970.92, 143,956.38 and 49,193.96

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Solution

The fourth proportional to 95,970.92, 143,956.38 and 49,193.96 is: 73,790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,970.92 : 143,956.38 = 49,193.96 : x
  2. Step 2: Convert to fraction form
    95,970.92/143,956.38 = 49,193.96/x
  3. Step 3: Cross multiply
    95,970.92x = 143,956.38 × 49,193.96
  4. Step 4: Simplify right side
    95,970.92x = 7,081,784,399.46
  5. Step 5: Solve for x
    x = 7,081,784,399.46/95,970.92
  6. Step 6: Final answer
    x = 73,790.94

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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.