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Finding the Fourth Proportional to 75,894.73, 104,819.31 and 59,101

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Solution

The fourth proportional to 75,894.73, 104,819.31 and 59,101 is: 81,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894.73 : 104,819.31 = 59,101 : x
  2. Step 2: Convert to fraction form
    75,894.73/104,819.31 = 59,101/x
  3. Step 3: Cross multiply
    75,894.73x = 104,819.31 × 59,101
  4. Step 4: Simplify right side
    75,894.73x = 6,194,926,040.31
  5. Step 5: Solve for x
    x = 6,194,926,040.31/75,894.73
  6. Step 6: Final answer
    x = 81,625.25

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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.