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Finding the Fourth Proportional to 32,638.42, 48,960.87 and 10,446.22

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Solution

The fourth proportional to 32,638.42, 48,960.87 and 10,446.22 is: 15,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,638.42 : 48,960.87 = 10,446.22 : x
  2. Step 2: Convert to fraction form
    32,638.42/48,960.87 = 10,446.22/x
  3. Step 3: Cross multiply
    32,638.42x = 48,960.87 × 10,446.22
  4. Step 4: Simplify right side
    32,638.42x = 511,456,019.41
  5. Step 5: Solve for x
    x = 511,456,019.41/32,638.42
  6. Step 6: Final answer
    x = 15,670.37

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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.