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Finding the Fourth Proportional to 76,411.60, 114,633.60 and 23,099.20

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Solution

The fourth proportional to 76,411.60, 114,633.60 and 23,099.20 is: 34,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.60 : 114,633.60 = 23,099.20 : x
  2. Step 2: Convert to fraction form
    76,411.60/114,633.60 = 23,099.20/x
  3. Step 3: Cross multiply
    76,411.60x = 114,633.60 × 23,099.20
  4. Step 4: Simplify right side
    76,411.60x = 2,647,944,453.12
  5. Step 5: Solve for x
    x = 2,647,944,453.12/76,411.60
  6. Step 6: Final answer
    x = 34,653.70

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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.