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Finding the Fourth Proportional to 32,103.64, 48,157.90 and 8,729.74

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Solution

The fourth proportional to 32,103.64, 48,157.90 and 8,729.74 is: 13,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.64 : 48,157.90 = 8,729.74 : x
  2. Step 2: Convert to fraction form
    32,103.64/48,157.90 = 8,729.74/x
  3. Step 3: Cross multiply
    32,103.64x = 48,157.90 × 8,729.74
  4. Step 4: Simplify right side
    32,103.64x = 420,405,945.95
  5. Step 5: Solve for x
    x = 420,405,945.95/32,103.64
  6. Step 6: Final answer
    x = 13,095.27

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1.5x scale

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.