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Finding the Fourth Proportional to 85,471.68, 117,832.32 and 73,660.80

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Solution

The fourth proportional to 85,471.68, 117,832.32 and 73,660.80 is: 101,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,471.68 : 117,832.32 = 73,660.80 : x
  2. Step 2: Convert to fraction form
    85,471.68/117,832.32 = 73,660.80/x
  3. Step 3: Cross multiply
    85,471.68x = 117,832.32 × 73,660.80
  4. Step 4: Simplify right side
    85,471.68x = 8,679,622,957.06
  5. Step 5: Solve for x
    x = 8,679,622,957.06/85,471.68
  6. Step 6: Final answer
    x = 101,549.69

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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.