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Finding the Fourth Proportional to 32,898.26, 49,350.53 and 9,205.82

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Solution

The fourth proportional to 32,898.26, 49,350.53 and 9,205.82 is: 13,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898.26 : 49,350.53 = 9,205.82 : x
  2. Step 2: Convert to fraction form
    32,898.26/49,350.53 = 9,205.82/x
  3. Step 3: Cross multiply
    32,898.26x = 49,350.53 × 9,205.82
  4. Step 4: Simplify right side
    32,898.26x = 454,312,096.08
  5. Step 5: Solve for x
    x = 454,312,096.08/32,898.26
  6. Step 6: Final answer
    x = 13,809.61

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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.