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Finding the Fourth Proportional to 54,052.88, 74,593.20 and 30,178.16

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Solution

The fourth proportional to 54,052.88, 74,593.20 and 30,178.16 is: 41,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,052.88 : 74,593.20 = 30,178.16 : x
  2. Step 2: Convert to fraction form
    54,052.88/74,593.20 = 30,178.16/x
  3. Step 3: Cross multiply
    54,052.88x = 74,593.20 × 30,178.16
  4. Step 4: Simplify right side
    54,052.88x = 2,251,085,524.51
  5. Step 5: Solve for x
    x = 2,251,085,524.51/54,052.88
  6. Step 6: Final answer
    x = 41,645.99

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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.