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Finding the Fourth Proportional to 32,197.70, 48,296.55 and 8,824.10

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Solution

The fourth proportional to 32,197.70, 48,296.55 and 8,824.10 is: 13,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.70 : 48,296.55 = 8,824.10 : x
  2. Step 2: Convert to fraction form
    32,197.70/48,296.55 = 8,824.10/x
  3. Step 3: Cross multiply
    32,197.70x = 48,296.55 × 8,824.10
  4. Step 4: Simplify right side
    32,197.70x = 426,173,586.86
  5. Step 5: Solve for x
    x = 426,173,586.86/32,197.70
  6. Step 6: Final answer
    x = 13,236.15

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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.