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Finding the Fourth Proportional to 75,171, 103,710.18 and 42,882.42

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Solution

The fourth proportional to 75,171, 103,710.18 and 42,882.42 is: 59,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,171 : 103,710.18 = 42,882.42 : x
  2. Step 2: Convert to fraction form
    75,171/103,710.18 = 42,882.42/x
  3. Step 3: Cross multiply
    75,171x = 103,710.18 × 42,882.42
  4. Step 4: Simplify right side
    75,171x = 4,447,343,497.04
  5. Step 5: Solve for x
    x = 4,447,343,497.04/75,171
  6. Step 6: Final answer
    x = 59,163.02

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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.