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Finding the Fourth Proportional to 32,408.70, 48,613.06 and 20,735.10

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Solution

The fourth proportional to 32,408.70, 48,613.06 and 20,735.10 is: 31,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.70 : 48,613.06 = 20,735.10 : x
  2. Step 2: Convert to fraction form
    32,408.70/48,613.06 = 20,735.10/x
  3. Step 3: Cross multiply
    32,408.70x = 48,613.06 × 20,735.10
  4. Step 4: Simplify right side
    32,408.70x = 1,007,996,660.41
  5. Step 5: Solve for x
    x = 1,007,996,660.41/32,408.70
  6. Step 6: Final answer
    x = 31,102.66

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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.