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Finding the Fourth Proportional to 82,509.75, 123,744.80 and 38,093.83

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Solution

The fourth proportional to 82,509.75, 123,744.80 and 38,093.83 is: 57,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509.75 : 123,744.80 = 38,093.83 : x
  2. Step 2: Convert to fraction form
    82,509.75/123,744.80 = 38,093.83/x
  3. Step 3: Cross multiply
    82,509.75x = 123,744.80 × 38,093.83
  4. Step 4: Simplify right side
    82,509.75x = 4,713,913,374.58
  5. Step 5: Solve for x
    x = 4,713,913,374.58/82,509.75
  6. Step 6: Final answer
    x = 57,131.59

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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.