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Finding the Fourth Proportional to 57,076.50, 78,763.04 and 31,584.28

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Solution

The fourth proportional to 57,076.50, 78,763.04 and 31,584.28 is: 43,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,076.50 : 78,763.04 = 31,584.28 : x
  2. Step 2: Convert to fraction form
    57,076.50/78,763.04 = 31,584.28/x
  3. Step 3: Cross multiply
    57,076.50x = 78,763.04 × 31,584.28
  4. Step 4: Simplify right side
    57,076.50x = 2,487,673,909.01
  5. Step 5: Solve for x
    x = 2,487,673,909.01/57,076.50
  6. Step 6: Final answer
    x = 43,584.91

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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.