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Finding the Fourth Proportional to 95,970.80, 143,956.19 and 49,193.84

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Solution

The fourth proportional to 95,970.80, 143,956.19 and 49,193.84 is: 73,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,970.80 : 143,956.19 = 49,193.84 : x
  2. Step 2: Convert to fraction form
    95,970.80/143,956.19 = 49,193.84/x
  3. Step 3: Cross multiply
    95,970.80x = 143,956.19 × 49,193.84
  4. Step 4: Simplify right side
    95,970.80x = 7,081,757,181.07
  5. Step 5: Solve for x
    x = 7,081,757,181.07/95,970.80
  6. Step 6: Final answer
    x = 73,790.75

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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.