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Finding the Fourth Proportional to 37,531.24, 51,787.02 and 20,761

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Solution

The fourth proportional to 37,531.24, 51,787.02 and 20,761 is: 28,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,531.24 : 51,787.02 = 20,761 : x
  2. Step 2: Convert to fraction form
    37,531.24/51,787.02 = 20,761/x
  3. Step 3: Cross multiply
    37,531.24x = 51,787.02 × 20,761
  4. Step 4: Simplify right side
    37,531.24x = 1,075,150,322.22
  5. Step 5: Solve for x
    x = 1,075,150,322.22/37,531.24
  6. Step 6: Final answer
    x = 28,646.81

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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.