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Finding the Fourth Proportional to 70,654.68, 105,923.70 and 51,933.96

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Solution

The fourth proportional to 70,654.68, 105,923.70 and 51,933.96 is: 77,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,654.68 : 105,923.70 = 51,933.96 : x
  2. Step 2: Convert to fraction form
    70,654.68/105,923.70 = 51,933.96/x
  3. Step 3: Cross multiply
    70,654.68x = 105,923.70 × 51,933.96
  4. Step 4: Simplify right side
    70,654.68x = 5,501,037,198.85
  5. Step 5: Solve for x
    x = 5,501,037,198.85/70,654.68
  6. Step 6: Final answer
    x = 77,858.07

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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.