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Finding the Fourth Proportional to 50,472, 69,653.76 and 28,116

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Solution

The fourth proportional to 50,472, 69,653.76 and 28,116 is: 38,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,472 : 69,653.76 = 28,116 : x
  2. Step 2: Convert to fraction form
    50,472/69,653.76 = 28,116/x
  3. Step 3: Cross multiply
    50,472x = 69,653.76 × 28,116
  4. Step 4: Simplify right side
    50,472x = 1,958,385,116.16
  5. Step 5: Solve for x
    x = 1,958,385,116.16/50,472
  6. Step 6: Final answer
    x = 38,801.42

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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.