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Finding the Fourth Proportional to 37,745.32, 52,075.24 and 22,642.88

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Solution

The fourth proportional to 37,745.32, 52,075.24 and 22,642.88 is: 31,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,745.32 : 52,075.24 = 22,642.88 : x
  2. Step 2: Convert to fraction form
    37,745.32/52,075.24 = 22,642.88/x
  3. Step 3: Cross multiply
    37,745.32x = 52,075.24 × 22,642.88
  4. Step 4: Simplify right side
    37,745.32x = 1,179,133,410.29
  5. Step 5: Solve for x
    x = 1,179,133,410.29/37,745.32
  6. Step 6: Final answer
    x = 31,239.19

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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.