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Finding the Fourth Proportional to 32,902.08, 49,357.22 and 10,709.50

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Solution

The fourth proportional to 32,902.08, 49,357.22 and 10,709.50 is: 16,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.08 : 49,357.22 = 10,709.50 : x
  2. Step 2: Convert to fraction form
    32,902.08/49,357.22 = 10,709.50/x
  3. Step 3: Cross multiply
    32,902.08x = 49,357.22 × 10,709.50
  4. Step 4: Simplify right side
    32,902.08x = 528,591,147.59
  5. Step 5: Solve for x
    x = 528,591,147.59/32,902.08
  6. Step 6: Final answer
    x = 16,065.58

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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.