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Finding the Fourth Proportional to 54,338.16, 75,000 and 33,129.12

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Solution

The fourth proportional to 54,338.16, 75,000 and 33,129.12 is: 45,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,338.16 : 75,000 = 33,129.12 : x
  2. Step 2: Convert to fraction form
    54,338.16/75,000 = 33,129.12/x
  3. Step 3: Cross multiply
    54,338.16x = 75,000 × 33,129.12
  4. Step 4: Simplify right side
    54,338.16x = 2,484,684,000
  5. Step 5: Solve for x
    x = 2,484,684,000/54,338.16
  6. Step 6: Final answer
    x = 45,726.32

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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.