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Finding the Fourth Proportional to 32,019.60, 48,029.40 and 20,182.80

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Solution

The fourth proportional to 32,019.60, 48,029.40 and 20,182.80 is: 30,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.60 : 48,029.40 = 20,182.80 : x
  2. Step 2: Convert to fraction form
    32,019.60/48,029.40 = 20,182.80/x
  3. Step 3: Cross multiply
    32,019.60x = 48,029.40 × 20,182.80
  4. Step 4: Simplify right side
    32,019.60x = 969,367,774.32
  5. Step 5: Solve for x
    x = 969,367,774.32/32,019.60
  6. Step 6: Final answer
    x = 30,274.20

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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.