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Finding the Fourth Proportional to 32,311.54, 44,576.22 and 19,729

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Solution

The fourth proportional to 32,311.54, 44,576.22 and 19,729 is: 27,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311.54 : 44,576.22 = 19,729 : x
  2. Step 2: Convert to fraction form
    32,311.54/44,576.22 = 19,729/x
  3. Step 3: Cross multiply
    32,311.54x = 44,576.22 × 19,729
  4. Step 4: Simplify right side
    32,311.54x = 879,444,244.38
  5. Step 5: Solve for x
    x = 879,444,244.38/32,311.54
  6. Step 6: Final answer
    x = 27,217.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.