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Finding the Fourth Proportional to 81,509.06, 122,264 and 37,104.75

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Solution

The fourth proportional to 81,509.06, 122,264 and 37,104.75 is: 55,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,509.06 : 122,264 = 37,104.75 : x
  2. Step 2: Convert to fraction form
    81,509.06/122,264 = 37,104.75/x
  3. Step 3: Cross multiply
    81,509.06x = 122,264 × 37,104.75
  4. Step 4: Simplify right side
    81,509.06x = 4,536,575,154
  5. Step 5: Solve for x
    x = 4,536,575,154/81,509.06
  6. Step 6: Final answer
    x = 55,657.32

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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.