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Finding the Fourth Proportional to 37,902.57, 56,833.75 and 11,600.25

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Solution

The fourth proportional to 37,902.57, 56,833.75 and 11,600.25 is: 17,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,902.57 : 56,833.75 = 11,600.25 : x
  2. Step 2: Convert to fraction form
    37,902.57/56,833.75 = 11,600.25/x
  3. Step 3: Cross multiply
    37,902.57x = 56,833.75 × 11,600.25
  4. Step 4: Simplify right side
    37,902.57x = 659,285,509.81
  5. Step 5: Solve for x
    x = 659,285,509.81/37,902.57
  6. Step 6: Final answer
    x = 17,394.22

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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.