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Finding the Fourth Proportional to 36,078.69, 49,756.37 and 22,651.21

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Solution

The fourth proportional to 36,078.69, 49,756.37 and 22,651.21 is: 31,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,078.69 : 49,756.37 = 22,651.21 : x
  2. Step 2: Convert to fraction form
    36,078.69/49,756.37 = 22,651.21/x
  3. Step 3: Cross multiply
    36,078.69x = 49,756.37 × 22,651.21
  4. Step 4: Simplify right side
    36,078.69x = 1,127,041,985.71
  5. Step 5: Solve for x
    x = 1,127,041,985.71/36,078.69
  6. Step 6: Final answer
    x = 31,238.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.