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Finding the Fourth Proportional to 67,711.14, 101,578.50 and 28,296

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Solution

The fourth proportional to 67,711.14, 101,578.50 and 28,296 is: 42,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,711.14 : 101,578.50 = 28,296 : x
  2. Step 2: Convert to fraction form
    67,711.14/101,578.50 = 28,296/x
  3. Step 3: Cross multiply
    67,711.14x = 101,578.50 × 28,296
  4. Step 4: Simplify right side
    67,711.14x = 2,874,265,236
  5. Step 5: Solve for x
    x = 2,874,265,236/67,711.14
  6. Step 6: Final answer
    x = 42,448.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.