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Finding the Fourth Proportional to 34,311.60, 51,477.12 and 20,284.02

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Solution

The fourth proportional to 34,311.60, 51,477.12 and 20,284.02 is: 30,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,311.60 : 51,477.12 = 20,284.02 : x
  2. Step 2: Convert to fraction form
    34,311.60/51,477.12 = 20,284.02/x
  3. Step 3: Cross multiply
    34,311.60x = 51,477.12 × 20,284.02
  4. Step 4: Simplify right side
    34,311.60x = 1,044,162,931.62
  5. Step 5: Solve for x
    x = 1,044,162,931.62/34,311.60
  6. Step 6: Final answer
    x = 30,431.78

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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.