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Finding the Fourth Proportional to 75,977.96, 104,805.74 and 45,742.28

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Solution

The fourth proportional to 75,977.96, 104,805.74 and 45,742.28 is: 63,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,977.96 : 104,805.74 = 45,742.28 : x
  2. Step 2: Convert to fraction form
    75,977.96/104,805.74 = 45,742.28/x
  3. Step 3: Cross multiply
    75,977.96x = 104,805.74 × 45,742.28
  4. Step 4: Simplify right side
    75,977.96x = 4,794,053,504.69
  5. Step 5: Solve for x
    x = 4,794,053,504.69/75,977.96
  6. Step 6: Final answer
    x = 63,097.95

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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.