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Finding the Fourth Proportional to 57,076.96, 78,767.76 and 31,584.64

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Solution

The fourth proportional to 57,076.96, 78,767.76 and 31,584.64 is: 43,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,076.96 : 78,767.76 = 31,584.64 : x
  2. Step 2: Convert to fraction form
    57,076.96/78,767.76 = 31,584.64/x
  3. Step 3: Cross multiply
    57,076.96x = 78,767.76 × 31,584.64
  4. Step 4: Simplify right side
    57,076.96x = 2,487,851,343.21
  5. Step 5: Solve for x
    x = 2,487,851,343.21/57,076.96
  6. Step 6: Final answer
    x = 43,587.66

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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.