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Finding the Fourth Proportional to 32,392.56, 48,596.22 and 10,205.82

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Solution

The fourth proportional to 32,392.56, 48,596.22 and 10,205.82 is: 15,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,392.56 : 48,596.22 = 10,205.82 : x
  2. Step 2: Convert to fraction form
    32,392.56/48,596.22 = 10,205.82/x
  3. Step 3: Cross multiply
    32,392.56x = 48,596.22 × 10,205.82
  4. Step 4: Simplify right side
    32,392.56x = 495,964,274.00
  5. Step 5: Solve for x
    x = 495,964,274.00/32,392.56
  6. Step 6: Final answer
    x = 15,311.06

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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.