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Finding the Fourth Proportional to 32,135.64, 48,217.64 and 11,078.88

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Solution

The fourth proportional to 32,135.64, 48,217.64 and 11,078.88 is: 16,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.64 : 48,217.64 = 11,078.88 : x
  2. Step 2: Convert to fraction form
    32,135.64/48,217.64 = 11,078.88/x
  3. Step 3: Cross multiply
    32,135.64x = 48,217.64 × 11,078.88
  4. Step 4: Simplify right side
    32,135.64x = 534,197,392.05
  5. Step 5: Solve for x
    x = 534,197,392.05/32,135.64
  6. Step 6: Final answer
    x = 16,623.21

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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.