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Finding the Fourth Proportional to 75,738.96, 104,537.56 and 47,080.24

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Solution

The fourth proportional to 75,738.96, 104,537.56 and 47,080.24 is: 64,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,738.96 : 104,537.56 = 47,080.24 : x
  2. Step 2: Convert to fraction form
    75,738.96/104,537.56 = 47,080.24/x
  3. Step 3: Cross multiply
    75,738.96x = 104,537.56 × 47,080.24
  4. Step 4: Simplify right side
    75,738.96x = 4,921,653,413.81
  5. Step 5: Solve for x
    x = 4,921,653,413.81/75,738.96
  6. Step 6: Final answer
    x = 64,981.79

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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.