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Finding the Fourth Proportional to 81,509.57, 122,264.81 and 37,105.26

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Solution

The fourth proportional to 81,509.57, 122,264.81 and 37,105.26 is: 55,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,509.57 : 122,264.81 = 37,105.26 : x
  2. Step 2: Convert to fraction form
    81,509.57/122,264.81 = 37,105.26/x
  3. Step 3: Cross multiply
    81,509.57x = 122,264.81 × 37,105.26
  4. Step 4: Simplify right side
    81,509.57x = 4,536,667,378.37
  5. Step 5: Solve for x
    x = 4,536,667,378.37/81,509.57
  6. Step 6: Final answer
    x = 55,658.10

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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.