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Finding the Fourth Proportional to 34,153.85, 51,227.89 and 19,316.09

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Solution

The fourth proportional to 34,153.85, 51,227.89 and 19,316.09 is: 28,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,153.85 : 51,227.89 = 19,316.09 : x
  2. Step 2: Convert to fraction form
    34,153.85/51,227.89 = 19,316.09/x
  3. Step 3: Cross multiply
    34,153.85x = 51,227.89 × 19,316.09
  4. Step 4: Simplify right side
    34,153.85x = 989,522,533.75
  5. Step 5: Solve for x
    x = 989,522,533.75/34,153.85
  6. Step 6: Final answer
    x = 28,972.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.