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Finding the Fourth Proportional to 32,640.44, 48,964.18 and 10,445.90

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Solution

The fourth proportional to 32,640.44, 48,964.18 and 10,445.90 is: 15,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640.44 : 48,964.18 = 10,445.90 : x
  2. Step 2: Convert to fraction form
    32,640.44/48,964.18 = 10,445.90/x
  3. Step 3: Cross multiply
    32,640.44x = 48,964.18 × 10,445.90
  4. Step 4: Simplify right side
    32,640.44x = 511,474,927.86
  5. Step 5: Solve for x
    x = 511,474,927.86/32,640.44
  6. Step 6: Final answer
    x = 15,669.98

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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.