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Finding the Fourth Proportional to 32,677.20, 49,015.80 and 19,522.80

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Solution

The fourth proportional to 32,677.20, 49,015.80 and 19,522.80 is: 29,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.20 : 49,015.80 = 19,522.80 : x
  2. Step 2: Convert to fraction form
    32,677.20/49,015.80 = 19,522.80/x
  3. Step 3: Cross multiply
    32,677.20x = 49,015.80 × 19,522.80
  4. Step 4: Simplify right side
    32,677.20x = 956,925,660.24
  5. Step 5: Solve for x
    x = 956,925,660.24/32,677.20
  6. Step 6: Final answer
    x = 29,284.20

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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.