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Finding the Fourth Proportional to 81,856.49, 122,848.37 and 37,485.75

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Solution

The fourth proportional to 81,856.49, 122,848.37 and 37,485.75 is: 56,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,856.49 : 122,848.37 = 37,485.75 : x
  2. Step 2: Convert to fraction form
    81,856.49/122,848.37 = 37,485.75/x
  3. Step 3: Cross multiply
    81,856.49x = 122,848.37 × 37,485.75
  4. Step 4: Simplify right side
    81,856.49x = 4,605,063,049.50
  5. Step 5: Solve for x
    x = 4,605,063,049.50/81,856.49
  6. Step 6: Final answer
    x = 56,257.77

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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.