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Finding the Fourth Proportional to 50,364.48, 69,505.44 and 28,008

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Solution

The fourth proportional to 50,364.48, 69,505.44 and 28,008 is: 38,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,364.48 : 69,505.44 = 28,008 : x
  2. Step 2: Convert to fraction form
    50,364.48/69,505.44 = 28,008/x
  3. Step 3: Cross multiply
    50,364.48x = 69,505.44 × 28,008
  4. Step 4: Simplify right side
    50,364.48x = 1,946,708,363.52
  5. Step 5: Solve for x
    x = 1,946,708,363.52/50,364.48
  6. Step 6: Final answer
    x = 38,652.41

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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.