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Finding the Fourth Proportional to 32,053.79, 48,080.16 and 12,336.62

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Solution

The fourth proportional to 32,053.79, 48,080.16 and 12,336.62 is: 18,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.79 : 48,080.16 = 12,336.62 : x
  2. Step 2: Convert to fraction form
    32,053.79/48,080.16 = 12,336.62/x
  3. Step 3: Cross multiply
    32,053.79x = 48,080.16 × 12,336.62
  4. Step 4: Simplify right side
    32,053.79x = 593,146,663.46
  5. Step 5: Solve for x
    x = 593,146,663.46/32,053.79
  6. Step 6: Final answer
    x = 18,504.73

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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.