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Finding the Fourth Proportional to 54,433, 75,111.78 and 30,562.36

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Solution

The fourth proportional to 54,433, 75,111.78 and 30,562.36 is: 42,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,433 : 75,111.78 = 30,562.36 : x
  2. Step 2: Convert to fraction form
    54,433/75,111.78 = 30,562.36/x
  3. Step 3: Cross multiply
    54,433x = 75,111.78 × 30,562.36
  4. Step 4: Simplify right side
    54,433x = 2,295,593,260.60
  5. Step 5: Solve for x
    x = 2,295,593,260.60/54,433
  6. Step 6: Final answer
    x = 42,172.82

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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.