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Finding the Fourth Proportional to 76,469.60, 114,704.40 and 20,309.60

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Solution

The fourth proportional to 76,469.60, 114,704.40 and 20,309.60 is: 30,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,469.60 : 114,704.40 = 20,309.60 : x
  2. Step 2: Convert to fraction form
    76,469.60/114,704.40 = 20,309.60/x
  3. Step 3: Cross multiply
    76,469.60x = 114,704.40 × 20,309.60
  4. Step 4: Simplify right side
    76,469.60x = 2,329,600,482.24
  5. Step 5: Solve for x
    x = 2,329,600,482.24/76,469.60
  6. Step 6: Final answer
    x = 30,464.40

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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.