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Finding the Fourth Proportional to 50,419.20, 69,578.48 and 28,068.48

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Solution

The fourth proportional to 50,419.20, 69,578.48 and 28,068.48 is: 38,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,419.20 : 69,578.48 = 28,068.48 : x
  2. Step 2: Convert to fraction form
    50,419.20/69,578.48 = 28,068.48/x
  3. Step 3: Cross multiply
    50,419.20x = 69,578.48 × 28,068.48
  4. Step 4: Simplify right side
    50,419.20x = 1,952,962,174.31
  5. Step 5: Solve for x
    x = 1,952,962,174.31/50,419.20
  6. Step 6: Final answer
    x = 38,734.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.