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Finding the Fourth Proportional to 36,146.22, 49,929.42 and 27,752.04

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Solution

The fourth proportional to 36,146.22, 49,929.42 and 27,752.04 is: 38,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,146.22 : 49,929.42 = 27,752.04 : x
  2. Step 2: Convert to fraction form
    36,146.22/49,929.42 = 27,752.04/x
  3. Step 3: Cross multiply
    36,146.22x = 49,929.42 × 27,752.04
  4. Step 4: Simplify right side
    36,146.22x = 1,385,643,261.02
  5. Step 5: Solve for x
    x = 1,385,643,261.02/36,146.22
  6. Step 6: Final answer
    x = 38,334.39

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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.