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Finding the Fourth Proportional to 32,392.44, 48,590.64 and 10,206.54

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Solution

The fourth proportional to 32,392.44, 48,590.64 and 10,206.54 is: 15,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,392.44 : 48,590.64 = 10,206.54 : x
  2. Step 2: Convert to fraction form
    32,392.44/48,590.64 = 10,206.54/x
  3. Step 3: Cross multiply
    32,392.44x = 48,590.64 × 10,206.54
  4. Step 4: Simplify right side
    32,392.44x = 495,942,310.79
  5. Step 5: Solve for x
    x = 495,942,310.79/32,392.44
  6. Step 6: Final answer
    x = 15,310.43

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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.