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Finding the Fourth Proportional to 75,893.73, 104,817.93 and 59,100

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Solution

The fourth proportional to 75,893.73, 104,817.93 and 59,100 is: 81,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,893.73 : 104,817.93 = 59,100 : x
  2. Step 2: Convert to fraction form
    75,893.73/104,817.93 = 59,100/x
  3. Step 3: Cross multiply
    75,893.73x = 104,817.93 × 59,100
  4. Step 4: Simplify right side
    75,893.73x = 6,194,739,663
  5. Step 5: Solve for x
    x = 6,194,739,663/75,893.73
  6. Step 6: Final answer
    x = 81,623.87

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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.