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Finding the Fourth Proportional to 38,077.46, 57,114.77 and 9,997.26

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Solution

The fourth proportional to 38,077.46, 57,114.77 and 9,997.26 is: 14,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,077.46 : 57,114.77 = 9,997.26 : x
  2. Step 2: Convert to fraction form
    38,077.46/57,114.77 = 9,997.26/x
  3. Step 3: Cross multiply
    38,077.46x = 57,114.77 × 9,997.26
  4. Step 4: Simplify right side
    38,077.46x = 570,991,205.53
  5. Step 5: Solve for x
    x = 570,991,205.53/38,077.46
  6. Step 6: Final answer
    x = 14,995.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.