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Finding the Fourth Proportional to 54,494.16, 75,203.84 and 30,620.32

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Solution

The fourth proportional to 54,494.16, 75,203.84 and 30,620.32 is: 42,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,494.16 : 75,203.84 = 30,620.32 : x
  2. Step 2: Convert to fraction form
    54,494.16/75,203.84 = 30,620.32/x
  3. Step 3: Cross multiply
    54,494.16x = 75,203.84 × 30,620.32
  4. Step 4: Simplify right side
    54,494.16x = 2,302,765,646.03
  5. Step 5: Solve for x
    x = 2,302,765,646.03/54,494.16
  6. Step 6: Final answer
    x = 42,257.11

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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.