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Finding the Fourth Proportional to 57,435.96, 79,261.88 and 31,944.64

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Solution

The fourth proportional to 57,435.96, 79,261.88 and 31,944.64 is: 44,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,435.96 : 79,261.88 = 31,944.64 : x
  2. Step 2: Convert to fraction form
    57,435.96/79,261.88 = 31,944.64/x
  3. Step 3: Cross multiply
    57,435.96x = 79,261.88 × 31,944.64
  4. Step 4: Simplify right side
    57,435.96x = 2,531,992,222.32
  5. Step 5: Solve for x
    x = 2,531,992,222.32/57,435.96
  6. Step 6: Final answer
    x = 44,083.75

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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.