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Finding the Fourth Proportional to 38,344.50, 52,915.41 and 21,577.86

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Solution

The fourth proportional to 38,344.50, 52,915.41 and 21,577.86 is: 29,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,344.50 : 52,915.41 = 21,577.86 : x
  2. Step 2: Convert to fraction form
    38,344.50/52,915.41 = 21,577.86/x
  3. Step 3: Cross multiply
    38,344.50x = 52,915.41 × 21,577.86
  4. Step 4: Simplify right side
    38,344.50x = 1,141,801,308.82
  5. Step 5: Solve for x
    x = 1,141,801,308.82/38,344.50
  6. Step 6: Final answer
    x = 29,777.45

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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.