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Finding the Fourth Proportional to 54,684.82, 75,465.06 and 29,534.32

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Solution

The fourth proportional to 54,684.82, 75,465.06 and 29,534.32 is: 40,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684.82 : 75,465.06 = 29,534.32 : x
  2. Step 2: Convert to fraction form
    54,684.82/75,465.06 = 29,534.32/x
  3. Step 3: Cross multiply
    54,684.82x = 75,465.06 × 29,534.32
  4. Step 4: Simplify right side
    54,684.82x = 2,228,809,230.86
  5. Step 5: Solve for x
    x = 2,228,809,230.86/54,684.82
  6. Step 6: Final answer
    x = 40,757.37

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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.