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Finding the Fourth Proportional to 75,106.92, 103,537.13 and 57,170.69

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Solution

The fourth proportional to 75,106.92, 103,537.13 and 57,170.69 is: 78,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,106.92 : 103,537.13 = 57,170.69 : x
  2. Step 2: Convert to fraction form
    75,106.92/103,537.13 = 57,170.69/x
  3. Step 3: Cross multiply
    75,106.92x = 103,537.13 × 57,170.69
  4. Step 4: Simplify right side
    75,106.92x = 5,919,288,359.18
  5. Step 5: Solve for x
    x = 5,919,288,359.18/75,106.92
  6. Step 6: Final answer
    x = 78,811.49

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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.