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Finding the Fourth Proportional to 81,611.96, 112,625.34 and 45,314

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Solution

The fourth proportional to 81,611.96, 112,625.34 and 45,314 is: 62,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,611.96 : 112,625.34 = 45,314 : x
  2. Step 2: Convert to fraction form
    81,611.96/112,625.34 = 45,314/x
  3. Step 3: Cross multiply
    81,611.96x = 112,625.34 × 45,314
  4. Step 4: Simplify right side
    81,611.96x = 5,103,504,656.76
  5. Step 5: Solve for x
    x = 5,103,504,656.76/81,611.96
  6. Step 6: Final answer
    x = 62,533.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.