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Finding the Fourth Proportional to 36,209.76, 49,894.56 and 29,107.68

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Solution

The fourth proportional to 36,209.76, 49,894.56 and 29,107.68 is: 40,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,209.76 : 49,894.56 = 29,107.68 : x
  2. Step 2: Convert to fraction form
    36,209.76/49,894.56 = 29,107.68/x
  3. Step 3: Cross multiply
    36,209.76x = 49,894.56 × 29,107.68
  4. Step 4: Simplify right side
    36,209.76x = 1,452,314,886.22
  5. Step 5: Solve for x
    x = 1,452,314,886.22/36,209.76
  6. Step 6: Final answer
    x = 40,108.38

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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.