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Finding the Fourth Proportional to 50,447.50, 69,619.71 and 28,091.50

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Solution

The fourth proportional to 50,447.50, 69,619.71 and 28,091.50 is: 38,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,447.50 : 69,619.71 = 28,091.50 : x
  2. Step 2: Convert to fraction form
    50,447.50/69,619.71 = 28,091.50/x
  3. Step 3: Cross multiply
    50,447.50x = 69,619.71 × 28,091.50
  4. Step 4: Simplify right side
    50,447.50x = 1,955,722,083.47
  5. Step 5: Solve for x
    x = 1,955,722,083.47/50,447.50
  6. Step 6: Final answer
    x = 38,767.47

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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.