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Finding the Fourth Proportional to 32,160.66, 48,236.62 and 8,466.23

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Solution

The fourth proportional to 32,160.66, 48,236.62 and 8,466.23 is: 12,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.66 : 48,236.62 = 8,466.23 : x
  2. Step 2: Convert to fraction form
    32,160.66/48,236.62 = 8,466.23/x
  3. Step 3: Cross multiply
    32,160.66x = 48,236.62 × 8,466.23
  4. Step 4: Simplify right side
    32,160.66x = 408,382,319.34
  5. Step 5: Solve for x
    x = 408,382,319.34/32,160.66
  6. Step 6: Final answer
    x = 12,698.19

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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.