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Finding the Fourth Proportional to 75,078.99, 103,694.04 and 51,164.15

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Solution

The fourth proportional to 75,078.99, 103,694.04 and 51,164.15 is: 70,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,078.99 : 103,694.04 = 51,164.15 : x
  2. Step 2: Convert to fraction form
    75,078.99/103,694.04 = 51,164.15/x
  3. Step 3: Cross multiply
    75,078.99x = 103,694.04 × 51,164.15
  4. Step 4: Simplify right side
    75,078.99x = 5,305,417,416.67
  5. Step 5: Solve for x
    x = 5,305,417,416.67/75,078.99
  6. Step 6: Final answer
    x = 70,664.48

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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.