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Finding the Fourth Proportional to 54,642.38, 75,398.64 and 30,443.18

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Solution

The fourth proportional to 54,642.38, 75,398.64 and 30,443.18 is: 42,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642.38 : 75,398.64 = 30,443.18 : x
  2. Step 2: Convert to fraction form
    54,642.38/75,398.64 = 30,443.18/x
  3. Step 3: Cross multiply
    54,642.38x = 75,398.64 × 30,443.18
  4. Step 4: Simplify right side
    54,642.38x = 2,295,374,369.28
  5. Step 5: Solve for x
    x = 2,295,374,369.28/54,642.38
  6. Step 6: Final answer
    x = 42,007.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.