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Finding the Fourth Proportional to 57,531.83, 79,374.87 and 33,641.60

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Solution

The fourth proportional to 57,531.83, 79,374.87 and 33,641.60 is: 46,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,531.83 : 79,374.87 = 33,641.60 : x
  2. Step 2: Convert to fraction form
    57,531.83/79,374.87 = 33,641.60/x
  3. Step 3: Cross multiply
    57,531.83x = 79,374.87 × 33,641.60
  4. Step 4: Simplify right side
    57,531.83x = 2,670,297,229.72
  5. Step 5: Solve for x
    x = 2,670,297,229.72/57,531.83
  6. Step 6: Final answer
    x = 46,414.26

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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.