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Finding the Fourth Proportional to 32,842.35, 49,200.75 and 21,716.19

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Solution

The fourth proportional to 32,842.35, 49,200.75 and 21,716.19 is: 32,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.35 : 49,200.75 = 21,716.19 : x
  2. Step 2: Convert to fraction form
    32,842.35/49,200.75 = 21,716.19/x
  3. Step 3: Cross multiply
    32,842.35x = 49,200.75 × 21,716.19
  4. Step 4: Simplify right side
    32,842.35x = 1,068,452,835.14
  5. Step 5: Solve for x
    x = 1,068,452,835.14/32,842.35
  6. Step 6: Final answer
    x = 32,532.78

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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.