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Finding the Fourth Proportional to 34,651.69, 51,977.07 and 8,356.22

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Solution

The fourth proportional to 34,651.69, 51,977.07 and 8,356.22 is: 12,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.69 : 51,977.07 = 8,356.22 : x
  2. Step 2: Convert to fraction form
    34,651.69/51,977.07 = 8,356.22/x
  3. Step 3: Cross multiply
    34,651.69x = 51,977.07 × 8,356.22
  4. Step 4: Simplify right side
    34,651.69x = 434,331,831.88
  5. Step 5: Solve for x
    x = 434,331,831.88/34,651.69
  6. Step 6: Final answer
    x = 12,534.22

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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.