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Finding the Fourth Proportional to 37,886.88, 52,294.56 and 23,738.88

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Solution

The fourth proportional to 37,886.88, 52,294.56 and 23,738.88 is: 32,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,886.88 : 52,294.56 = 23,738.88 : x
  2. Step 2: Convert to fraction form
    37,886.88/52,294.56 = 23,738.88/x
  3. Step 3: Cross multiply
    37,886.88x = 52,294.56 × 23,738.88
  4. Step 4: Simplify right side
    37,886.88x = 1,241,414,284.49
  5. Step 5: Solve for x
    x = 1,241,414,284.49/37,886.88
  6. Step 6: Final answer
    x = 32,766.34

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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.