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Finding the Fourth Proportional to 32,098.86, 48,148.15 and 8,725.23

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Solution

The fourth proportional to 32,098.86, 48,148.15 and 8,725.23 is: 13,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.86 : 48,148.15 = 8,725.23 : x
  2. Step 2: Convert to fraction form
    32,098.86/48,148.15 = 8,725.23/x
  3. Step 3: Cross multiply
    32,098.86x = 48,148.15 × 8,725.23
  4. Step 4: Simplify right side
    32,098.86x = 420,103,682.82
  5. Step 5: Solve for x
    x = 420,103,682.82/32,098.86
  6. Step 6: Final answer
    x = 13,087.81

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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.