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Finding the Fourth Proportional to 32,589.76, 48,885.60 and 9,213.76

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Solution

The fourth proportional to 32,589.76, 48,885.60 and 9,213.76 is: 13,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,589.76 : 48,885.60 = 9,213.76 : x
  2. Step 2: Convert to fraction form
    32,589.76/48,885.60 = 9,213.76/x
  3. Step 3: Cross multiply
    32,589.76x = 48,885.60 × 9,213.76
  4. Step 4: Simplify right side
    32,589.76x = 450,420,185.86
  5. Step 5: Solve for x
    x = 450,420,185.86/32,589.76
  6. Step 6: Final answer
    x = 13,820.91

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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.