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Finding the Fourth Proportional to 38,601, 53,276.76 and 21,834

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Solution

The fourth proportional to 38,601, 53,276.76 and 21,834 is: 30,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,601 : 53,276.76 = 21,834 : x
  2. Step 2: Convert to fraction form
    38,601/53,276.76 = 21,834/x
  3. Step 3: Cross multiply
    38,601x = 53,276.76 × 21,834
  4. Step 4: Simplify right side
    38,601x = 1,163,244,777.84
  5. Step 5: Solve for x
    x = 1,163,244,777.84/38,601
  6. Step 6: Final answer
    x = 30,135.09

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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.