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Finding the Fourth Proportional to 75,803.50, 113,730.36 and 23,213.44

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Solution

The fourth proportional to 75,803.50, 113,730.36 and 23,213.44 is: 34,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,803.50 : 113,730.36 = 23,213.44 : x
  2. Step 2: Convert to fraction form
    75,803.50/113,730.36 = 23,213.44/x
  3. Step 3: Cross multiply
    75,803.50x = 113,730.36 × 23,213.44
  4. Step 4: Simplify right side
    75,803.50x = 2,640,072,888.04
  5. Step 5: Solve for x
    x = 2,640,072,888.04/75,803.50
  6. Step 6: Final answer
    x = 34,827.85

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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.