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Finding the Fourth Proportional to 32,834.24, 49,260 and 9,462.08

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Solution

The fourth proportional to 32,834.24, 49,260 and 9,462.08 is: 14,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834.24 : 49,260 = 9,462.08 : x
  2. Step 2: Convert to fraction form
    32,834.24/49,260 = 9,462.08/x
  3. Step 3: Cross multiply
    32,834.24x = 49,260 × 9,462.08
  4. Step 4: Simplify right side
    32,834.24x = 466,102,060.80
  5. Step 5: Solve for x
    x = 466,102,060.80/32,834.24
  6. Step 6: Final answer
    x = 14,195.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.