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Finding the Fourth Proportional to 32,714.96, 49,074.08 and 9,344.84

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Solution

The fourth proportional to 32,714.96, 49,074.08 and 9,344.84 is: 14,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.96 : 49,074.08 = 9,344.84 : x
  2. Step 2: Convert to fraction form
    32,714.96/49,074.08 = 9,344.84/x
  3. Step 3: Cross multiply
    32,714.96x = 49,074.08 × 9,344.84
  4. Step 4: Simplify right side
    32,714.96x = 458,589,425.75
  5. Step 5: Solve for x
    x = 458,589,425.75/32,714.96
  6. Step 6: Final answer
    x = 14,017.73

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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.