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Finding the Fourth Proportional to 54,933, 82,350.62 and 19,864.86

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Solution

The fourth proportional to 54,933, 82,350.62 and 19,864.86 is: 29,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,933 : 82,350.62 = 19,864.86 : x
  2. Step 2: Convert to fraction form
    54,933/82,350.62 = 19,864.86/x
  3. Step 3: Cross multiply
    54,933x = 82,350.62 × 19,864.86
  4. Step 4: Simplify right side
    54,933x = 1,635,883,537.21
  5. Step 5: Solve for x
    x = 1,635,883,537.21/54,933
  6. Step 6: Final answer
    x = 29,779.61

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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.