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Finding the Fourth Proportional to 54,542.16, 75,262.06 and 30,668.32

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Solution

The fourth proportional to 54,542.16, 75,262.06 and 30,668.32 is: 42,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,542.16 : 75,262.06 = 30,668.32 : x
  2. Step 2: Convert to fraction form
    54,542.16/75,262.06 = 30,668.32/x
  3. Step 3: Cross multiply
    54,542.16x = 75,262.06 × 30,668.32
  4. Step 4: Simplify right side
    54,542.16x = 2,308,161,072.35
  5. Step 5: Solve for x
    x = 2,308,161,072.35/54,542.16
  6. Step 6: Final answer
    x = 42,318.84

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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.