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Finding the Fourth Proportional to 50,468.50, 69,646.56 and 28,112.50

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Solution

The fourth proportional to 50,468.50, 69,646.56 and 28,112.50 is: 38,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,468.50 : 69,646.56 = 28,112.50 : x
  2. Step 2: Convert to fraction form
    50,468.50/69,646.56 = 28,112.50/x
  3. Step 3: Cross multiply
    50,468.50x = 69,646.56 × 28,112.50
  4. Step 4: Simplify right side
    50,468.50x = 1,957,938,918
  5. Step 5: Solve for x
    x = 1,957,938,918/50,468.50
  6. Step 6: Final answer
    x = 38,795.27

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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.