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Finding the Fourth Proportional to 71,843.16, 99,131.67 and 43,548.84

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Solution

The fourth proportional to 71,843.16, 99,131.67 and 43,548.84 is: 60,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,843.16 : 99,131.67 = 43,548.84 : x
  2. Step 2: Convert to fraction form
    71,843.16/99,131.67 = 43,548.84/x
  3. Step 3: Cross multiply
    71,843.16x = 99,131.67 × 43,548.84
  4. Step 4: Simplify right side
    71,843.16x = 4,317,069,235.76
  5. Step 5: Solve for x
    x = 4,317,069,235.76/71,843.16
  6. Step 6: Final answer
    x = 60,090.19

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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.