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Finding the Fourth Proportional to 73,978.44, 102,065.74 and 41,709.01

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Solution

The fourth proportional to 73,978.44, 102,065.74 and 41,709.01 is: 57,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,978.44 : 102,065.74 = 41,709.01 : x
  2. Step 2: Convert to fraction form
    73,978.44/102,065.74 = 41,709.01/x
  3. Step 3: Cross multiply
    73,978.44x = 102,065.74 × 41,709.01
  4. Step 4: Simplify right side
    73,978.44x = 4,257,060,970.32
  5. Step 5: Solve for x
    x = 4,257,060,970.32/73,978.44
  6. Step 6: Final answer
    x = 57,544.62

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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.