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Finding the Fourth Proportional to 34,105.70, 51,166.32 and 10,415.42

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Solution

The fourth proportional to 34,105.70, 51,166.32 and 10,415.42 is: 15,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,105.70 : 51,166.32 = 10,415.42 : x
  2. Step 2: Convert to fraction form
    34,105.70/51,166.32 = 10,415.42/x
  3. Step 3: Cross multiply
    34,105.70x = 51,166.32 × 10,415.42
  4. Step 4: Simplify right side
    34,105.70x = 532,918,712.65
  5. Step 5: Solve for x
    x = 532,918,712.65/34,105.70
  6. Step 6: Final answer
    x = 15,625.50

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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.