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Finding the Fourth Proportional to 71,843.33, 99,143.74 and 41,646.14

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Solution

The fourth proportional to 71,843.33, 99,143.74 and 41,646.14 is: 57,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,843.33 : 99,143.74 = 41,646.14 : x
  2. Step 2: Convert to fraction form
    71,843.33/99,143.74 = 41,646.14/x
  3. Step 3: Cross multiply
    71,843.33x = 99,143.74 × 41,646.14
  4. Step 4: Simplify right side
    71,843.33x = 4,128,954,076.16
  5. Step 5: Solve for x
    x = 4,128,954,076.16/71,843.33
  6. Step 6: Final answer
    x = 57,471.64

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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.