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Finding the Fourth Proportional to 54,991.65, 75,795.96 and 42,066.48

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Solution

The fourth proportional to 54,991.65, 75,795.96 and 42,066.48 is: 57,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,991.65 : 75,795.96 = 42,066.48 : x
  2. Step 2: Convert to fraction form
    54,991.65/75,795.96 = 42,066.48/x
  3. Step 3: Cross multiply
    54,991.65x = 75,795.96 × 42,066.48
  4. Step 4: Simplify right side
    54,991.65x = 3,188,469,235.42
  5. Step 5: Solve for x
    x = 3,188,469,235.42/54,991.65
  6. Step 6: Final answer
    x = 57,980.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.