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Finding the Fourth Proportional to 34,767.50, 52,106.54 and 15,778.26

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Solution

The fourth proportional to 34,767.50, 52,106.54 and 15,778.26 is: 23,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767.50 : 52,106.54 = 15,778.26 : x
  2. Step 2: Convert to fraction form
    34,767.50/52,106.54 = 15,778.26/x
  3. Step 3: Cross multiply
    34,767.50x = 52,106.54 × 15,778.26
  4. Step 4: Simplify right side
    34,767.50x = 822,150,456.93
  5. Step 5: Solve for x
    x = 822,150,456.93/34,767.50
  6. Step 6: Final answer
    x = 23,647.10

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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.