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Finding the Fourth Proportional to 37,102.75, 55,657.37 and 9,400.75

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Solution

The fourth proportional to 37,102.75, 55,657.37 and 9,400.75 is: 14,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.75 : 55,657.37 = 9,400.75 : x
  2. Step 2: Convert to fraction form
    37,102.75/55,657.37 = 9,400.75/x
  3. Step 3: Cross multiply
    37,102.75x = 55,657.37 × 9,400.75
  4. Step 4: Simplify right side
    37,102.75x = 523,220,974.02
  5. Step 5: Solve for x
    x = 523,220,974.02/37,102.75
  6. Step 6: Final answer
    x = 14,101.95

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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.