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Finding the Fourth Proportional to 32,152.42, 48,236.11 and 9,964.62

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Solution

The fourth proportional to 32,152.42, 48,236.11 and 9,964.62 is: 14,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.42 : 48,236.11 = 9,964.62 : x
  2. Step 2: Convert to fraction form
    32,152.42/48,236.11 = 9,964.62/x
  3. Step 3: Cross multiply
    32,152.42x = 48,236.11 × 9,964.62
  4. Step 4: Simplify right side
    32,152.42x = 480,654,506.43
  5. Step 5: Solve for x
    x = 480,654,506.43/32,152.42
  6. Step 6: Final answer
    x = 14,949.25

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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.