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Finding the Fourth Proportional to 32,834.40, 49,251.68 and 9,462.72

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Solution

The fourth proportional to 32,834.40, 49,251.68 and 9,462.72 is: 14,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834.40 : 49,251.68 = 9,462.72 : x
  2. Step 2: Convert to fraction form
    32,834.40/49,251.68 = 9,462.72/x
  3. Step 3: Cross multiply
    32,834.40x = 49,251.68 × 9,462.72
  4. Step 4: Simplify right side
    32,834.40x = 466,054,857.37
  5. Step 5: Solve for x
    x = 466,054,857.37/32,834.40
  6. Step 6: Final answer
    x = 14,194.10

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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.