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Finding the Fourth Proportional to 54,402.32, 75,075.72 and 31,755.44

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Solution

The fourth proportional to 54,402.32, 75,075.72 and 31,755.44 is: 43,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,402.32 : 75,075.72 = 31,755.44 : x
  2. Step 2: Convert to fraction form
    54,402.32/75,075.72 = 31,755.44/x
  3. Step 3: Cross multiply
    54,402.32x = 75,075.72 × 31,755.44
  4. Step 4: Simplify right side
    54,402.32x = 2,384,062,521.92
  5. Step 5: Solve for x
    x = 2,384,062,521.92/54,402.32
  6. Step 6: Final answer
    x = 43,822.81

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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.