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Finding the Fourth Proportional to 34,978.92, 52,468.76 and 28,003.28

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Solution

The fourth proportional to 34,978.92, 52,468.76 and 28,003.28 is: 42,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,978.92 : 52,468.76 = 28,003.28 : x
  2. Step 2: Convert to fraction form
    34,978.92/52,468.76 = 28,003.28/x
  3. Step 3: Cross multiply
    34,978.92x = 52,468.76 × 28,003.28
  4. Step 4: Simplify right side
    34,978.92x = 1,469,297,377.53
  5. Step 5: Solve for x
    x = 1,469,297,377.53/34,978.92
  6. Step 6: Final answer
    x = 42,005.22

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Why These Related Problems?

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