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Finding the Fourth Proportional to 32,458.27, 48,687.41 and 7,834.27

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Solution

The fourth proportional to 32,458.27, 48,687.41 and 7,834.27 is: 11,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.27 : 48,687.41 = 7,834.27 : x
  2. Step 2: Convert to fraction form
    32,458.27/48,687.41 = 7,834.27/x
  3. Step 3: Cross multiply
    32,458.27x = 48,687.41 × 7,834.27
  4. Step 4: Simplify right side
    32,458.27x = 381,430,315.54
  5. Step 5: Solve for x
    x = 381,430,315.54/32,458.27
  6. Step 6: Final answer
    x = 11,751.41

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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.