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Finding the Fourth Proportional to 104,691.64, 156,954.84 and 52,072.42

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Solution

The fourth proportional to 104,691.64, 156,954.84 and 52,072.42 is: 78,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,691.64 : 156,954.84 = 52,072.42 : x
  2. Step 2: Convert to fraction form
    104,691.64/156,954.84 = 52,072.42/x
  3. Step 3: Cross multiply
    104,691.64x = 156,954.84 × 52,072.42
  4. Step 4: Simplify right side
    104,691.64x = 8,173,018,349.51
  5. Step 5: Solve for x
    x = 8,173,018,349.51/104,691.64
  6. Step 6: Final answer
    x = 78,067.54

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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.