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Finding the Fourth Proportional to 81,896.68, 113,008.26 and 46,099

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Solution

The fourth proportional to 81,896.68, 113,008.26 and 46,099 is: 63,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,896.68 : 113,008.26 = 46,099 : x
  2. Step 2: Convert to fraction form
    81,896.68/113,008.26 = 46,099/x
  3. Step 3: Cross multiply
    81,896.68x = 113,008.26 × 46,099
  4. Step 4: Simplify right side
    81,896.68x = 5,209,567,777.74
  5. Step 5: Solve for x
    x = 5,209,567,777.74/81,896.68
  6. Step 6: Final answer
    x = 63,611.46

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Why These Related Problems?

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