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Finding the Fourth Proportional to 32,268.60, 48,409.02 and 11,207.82

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Solution

The fourth proportional to 32,268.60, 48,409.02 and 11,207.82 is: 16,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,268.60 : 48,409.02 = 11,207.82 : x
  2. Step 2: Convert to fraction form
    32,268.60/48,409.02 = 11,207.82/x
  3. Step 3: Cross multiply
    32,268.60x = 48,409.02 × 11,207.82
  4. Step 4: Simplify right side
    32,268.60x = 542,559,582.54
  5. Step 5: Solve for x
    x = 542,559,582.54/32,268.60
  6. Step 6: Final answer
    x = 16,813.86

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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.