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Finding the Fourth Proportional to 50,190, 69,264.48 and 27,834

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Solution

The fourth proportional to 50,190, 69,264.48 and 27,834 is: 38,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,190 : 69,264.48 = 27,834 : x
  2. Step 2: Convert to fraction form
    50,190/69,264.48 = 27,834/x
  3. Step 3: Cross multiply
    50,190x = 69,264.48 × 27,834
  4. Step 4: Simplify right side
    50,190x = 1,927,907,536.32
  5. Step 5: Solve for x
    x = 1,927,907,536.32/50,190
  6. Step 6: Final answer
    x = 38,412.18

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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.