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Finding the Fourth Proportional to 32,408.03, 48,612.06 and 7,784.03

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Solution

The fourth proportional to 32,408.03, 48,612.06 and 7,784.03 is: 11,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.03 : 48,612.06 = 7,784.03 : x
  2. Step 2: Convert to fraction form
    32,408.03/48,612.06 = 7,784.03/x
  3. Step 3: Cross multiply
    32,408.03x = 48,612.06 × 7,784.03
  4. Step 4: Simplify right side
    32,408.03x = 378,397,694.48
  5. Step 5: Solve for x
    x = 378,397,694.48/32,408.03
  6. Step 6: Final answer
    x = 11,676.05

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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.