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Finding the Fourth Proportional to 54,812.33, 75,641.24 and 29,661.83

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Solution

The fourth proportional to 54,812.33, 75,641.24 and 29,661.83 is: 40,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,812.33 : 75,641.24 = 29,661.83 : x
  2. Step 2: Convert to fraction form
    54,812.33/75,641.24 = 29,661.83/x
  3. Step 3: Cross multiply
    54,812.33x = 75,641.24 × 29,661.83
  4. Step 4: Simplify right side
    54,812.33x = 2,243,657,297.82
  5. Step 5: Solve for x
    x = 2,243,657,297.82/54,812.33
  6. Step 6: Final answer
    x = 40,933.45

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