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Finding the Fourth Proportional to 75,115.37, 103,658.98 and 43,284.20

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Solution

The fourth proportional to 75,115.37, 103,658.98 and 43,284.20 is: 59,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,115.37 : 103,658.98 = 43,284.20 : x
  2. Step 2: Convert to fraction form
    75,115.37/103,658.98 = 43,284.20/x
  3. Step 3: Cross multiply
    75,115.37x = 103,658.98 × 43,284.20
  4. Step 4: Simplify right side
    75,115.37x = 4,486,796,022.12
  5. Step 5: Solve for x
    x = 4,486,796,022.12/75,115.37
  6. Step 6: Final answer
    x = 59,732.06

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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.