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Finding the Fourth Proportional to 38,961, 53,766.18 and 21,297

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Solution

The fourth proportional to 38,961, 53,766.18 and 21,297 is: 29,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,961 : 53,766.18 = 21,297 : x
  2. Step 2: Convert to fraction form
    38,961/53,766.18 = 21,297/x
  3. Step 3: Cross multiply
    38,961x = 53,766.18 × 21,297
  4. Step 4: Simplify right side
    38,961x = 1,145,058,335.46
  5. Step 5: Solve for x
    x = 1,145,058,335.46/38,961
  6. Step 6: Final answer
    x = 29,389.86

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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.