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Finding the Fourth Proportional to 32,098.60, 48,143.04 and 8,406.64

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Solution

The fourth proportional to 32,098.60, 48,143.04 and 8,406.64 is: 12,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.60 : 48,143.04 = 8,406.64 : x
  2. Step 2: Convert to fraction form
    32,098.60/48,143.04 = 8,406.64/x
  3. Step 3: Cross multiply
    32,098.60x = 48,143.04 × 8,406.64
  4. Step 4: Simplify right side
    32,098.60x = 404,721,205.79
  5. Step 5: Solve for x
    x = 404,721,205.79/32,098.60
  6. Step 6: Final answer
    x = 12,608.69

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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.