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Finding the Fourth Proportional to 34,711.58, 52,067.55 and 8,416.33

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Solution

The fourth proportional to 34,711.58, 52,067.55 and 8,416.33 is: 12,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711.58 : 52,067.55 = 8,416.33 : x
  2. Step 2: Convert to fraction form
    34,711.58/52,067.55 = 8,416.33/x
  3. Step 3: Cross multiply
    34,711.58x = 52,067.55 × 8,416.33
  4. Step 4: Simplify right side
    34,711.58x = 438,217,683.09
  5. Step 5: Solve for x
    x = 438,217,683.09/34,711.58
  6. Step 6: Final answer
    x = 12,624.54

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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.