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Finding the Fourth Proportional to 54,356.09, 75,012.15 and 32,842.83

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Solution

The fourth proportional to 54,356.09, 75,012.15 and 32,842.83 is: 45,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,356.09 : 75,012.15 = 32,842.83 : x
  2. Step 2: Convert to fraction form
    54,356.09/75,012.15 = 32,842.83/x
  3. Step 3: Cross multiply
    54,356.09x = 75,012.15 × 32,842.83
  4. Step 4: Simplify right side
    54,356.09x = 2,463,611,290.38
  5. Step 5: Solve for x
    x = 2,463,611,290.38/54,356.09
  6. Step 6: Final answer
    x = 45,323.56

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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.