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Finding the Fourth Proportional to 54,673.65, 82,010.44 and 42,211.87

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Solution

The fourth proportional to 54,673.65, 82,010.44 and 42,211.87 is: 63,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,673.65 : 82,010.44 = 42,211.87 : x
  2. Step 2: Convert to fraction form
    54,673.65/82,010.44 = 42,211.87/x
  3. Step 3: Cross multiply
    54,673.65x = 82,010.44 × 42,211.87
  4. Step 4: Simplify right side
    54,673.65x = 3,461,813,879.66
  5. Step 5: Solve for x
    x = 3,461,813,879.66/54,673.65
  6. Step 6: Final answer
    x = 63,317.78

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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.