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Finding the Fourth Proportional to 32,320.50, 48,467.90 and 13,609.50

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Solution

The fourth proportional to 32,320.50, 48,467.90 and 13,609.50 is: 20,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,320.50 : 48,467.90 = 13,609.50 : x
  2. Step 2: Convert to fraction form
    32,320.50/48,467.90 = 13,609.50/x
  3. Step 3: Cross multiply
    32,320.50x = 48,467.90 × 13,609.50
  4. Step 4: Simplify right side
    32,320.50x = 659,623,885.05
  5. Step 5: Solve for x
    x = 659,623,885.05/32,320.50
  6. Step 6: Final answer
    x = 20,408.84

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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.