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Finding the Fourth Proportional to 95,808.42, 143,714.25 and 31,766.85

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Solution

The fourth proportional to 95,808.42, 143,714.25 and 31,766.85 is: 47,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,808.42 : 143,714.25 = 31,766.85 : x
  2. Step 2: Convert to fraction form
    95,808.42/143,714.25 = 31,766.85/x
  3. Step 3: Cross multiply
    95,808.42x = 143,714.25 × 31,766.85
  4. Step 4: Simplify right side
    95,808.42x = 4,565,349,022.61
  5. Step 5: Solve for x
    x = 4,565,349,022.61/95,808.42
  6. Step 6: Final answer
    x = 47,650.81

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