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Finding the Fourth Proportional to 69,714.56, 96,205.74 and 39,499.82

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Solution

The fourth proportional to 69,714.56, 96,205.74 and 39,499.82 is: 54,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,714.56 : 96,205.74 = 39,499.82 : x
  2. Step 2: Convert to fraction form
    69,714.56/96,205.74 = 39,499.82/x
  3. Step 3: Cross multiply
    69,714.56x = 96,205.74 × 39,499.82
  4. Step 4: Simplify right side
    69,714.56x = 3,800,109,412.97
  5. Step 5: Solve for x
    x = 3,800,109,412.97/69,714.56
  6. Step 6: Final answer
    x = 54,509.55

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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.