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Finding the Fourth Proportional to 50,040, 69,057.36 and 27,684

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Solution

The fourth proportional to 50,040, 69,057.36 and 27,684 is: 38,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,040 : 69,057.36 = 27,684 : x
  2. Step 2: Convert to fraction form
    50,040/69,057.36 = 27,684/x
  3. Step 3: Cross multiply
    50,040x = 69,057.36 × 27,684
  4. Step 4: Simplify right side
    50,040x = 1,911,783,954.24
  5. Step 5: Solve for x
    x = 1,911,783,954.24/50,040
  6. Step 6: Final answer
    x = 38,205.11

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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.