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Finding the Fourth Proportional to 75,756, 113,612.24 and 23,153.12

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Solution

The fourth proportional to 75,756, 113,612.24 and 23,153.12 is: 34,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,756 : 113,612.24 = 23,153.12 : x
  2. Step 2: Convert to fraction form
    75,756/113,612.24 = 23,153.12/x
  3. Step 3: Cross multiply
    75,756x = 113,612.24 × 23,153.12
  4. Step 4: Simplify right side
    75,756x = 2,630,477,826.19
  5. Step 5: Solve for x
    x = 2,630,477,826.19/75,756
  6. Step 6: Final answer
    x = 34,723.03

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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.