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Finding the Fourth Proportional to 54,709.64, 82,064.82 and 19,649.60

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Solution

The fourth proportional to 54,709.64, 82,064.82 and 19,649.60 is: 29,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,709.64 : 82,064.82 = 19,649.60 : x
  2. Step 2: Convert to fraction form
    54,709.64/82,064.82 = 19,649.60/x
  3. Step 3: Cross multiply
    54,709.64x = 82,064.82 × 19,649.60
  4. Step 4: Simplify right side
    54,709.64x = 1,612,540,887.07
  5. Step 5: Solve for x
    x = 1,612,540,887.07/54,709.64
  6. Step 6: Final answer
    x = 29,474.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.