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Finding the Fourth Proportional to 32,863.86, 49,295.74 and 7,903.89

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Solution

The fourth proportional to 32,863.86, 49,295.74 and 7,903.89 is: 11,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.86 : 49,295.74 = 7,903.89 : x
  2. Step 2: Convert to fraction form
    32,863.86/49,295.74 = 7,903.89/x
  3. Step 3: Cross multiply
    32,863.86x = 49,295.74 × 7,903.89
  4. Step 4: Simplify right side
    32,863.86x = 389,628,106.43
  5. Step 5: Solve for x
    x = 389,628,106.43/32,863.86
  6. Step 6: Final answer
    x = 11,855.82

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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.