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Finding the Fourth Proportional to 32,811.80, 49,217.70 and 27,368.60

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Solution

The fourth proportional to 32,811.80, 49,217.70 and 27,368.60 is: 41,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811.80 : 49,217.70 = 27,368.60 : x
  2. Step 2: Convert to fraction form
    32,811.80/49,217.70 = 27,368.60/x
  3. Step 3: Cross multiply
    32,811.80x = 49,217.70 × 27,368.60
  4. Step 4: Simplify right side
    32,811.80x = 1,347,019,544.22
  5. Step 5: Solve for x
    x = 1,347,019,544.22/32,811.80
  6. Step 6: Final answer
    x = 41,052.90

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Why These Related Problems?

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