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Finding the Fourth Proportional to 32,194.20, 48,239.46 and 19,856.28

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Solution

The fourth proportional to 32,194.20, 48,239.46 and 19,856.28 is: 29,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.20 : 48,239.46 = 19,856.28 : x
  2. Step 2: Convert to fraction form
    32,194.20/48,239.46 = 19,856.28/x
  3. Step 3: Cross multiply
    32,194.20x = 48,239.46 × 19,856.28
  4. Step 4: Simplify right side
    32,194.20x = 957,856,224.81
  5. Step 5: Solve for x
    x = 957,856,224.81/32,194.20
  6. Step 6: Final answer
    x = 29,752.45

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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.