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Finding the Fourth Proportional to 38,977.58, 53,753.76 and 25,544

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Solution

The fourth proportional to 38,977.58, 53,753.76 and 25,544 is: 35,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,977.58 : 53,753.76 = 25,544 : x
  2. Step 2: Convert to fraction form
    38,977.58/53,753.76 = 25,544/x
  3. Step 3: Cross multiply
    38,977.58x = 53,753.76 × 25,544
  4. Step 4: Simplify right side
    38,977.58x = 1,373,086,045.44
  5. Step 5: Solve for x
    x = 1,373,086,045.44/38,977.58
  6. Step 6: Final answer
    x = 35,227.59

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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.