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Finding the Fourth Proportional to 38,258.74, 52,796.33 and 21,262.78

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Solution

The fourth proportional to 38,258.74, 52,796.33 and 21,262.78 is: 29,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,258.74 : 52,796.33 = 21,262.78 : x
  2. Step 2: Convert to fraction form
    38,258.74/52,796.33 = 21,262.78/x
  3. Step 3: Cross multiply
    38,258.74x = 52,796.33 × 21,262.78
  4. Step 4: Simplify right side
    38,258.74x = 1,122,596,485.62
  5. Step 5: Solve for x
    x = 1,122,596,485.62/38,258.74
  6. Step 6: Final answer
    x = 29,342.23

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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.