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Finding the Fourth Proportional to 50,524.48, 69,726.24 and 28,168

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Solution

The fourth proportional to 50,524.48, 69,726.24 and 28,168 is: 38,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,524.48 : 69,726.24 = 28,168 : x
  2. Step 2: Convert to fraction form
    50,524.48/69,726.24 = 28,168/x
  3. Step 3: Cross multiply
    50,524.48x = 69,726.24 × 28,168
  4. Step 4: Simplify right side
    50,524.48x = 1,964,048,728.32
  5. Step 5: Solve for x
    x = 1,964,048,728.32/50,524.48
  6. Step 6: Final answer
    x = 38,873.21

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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.