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Finding the Fourth Proportional to 71,406.37, 98,536.98 and 41,189.88

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Solution

The fourth proportional to 71,406.37, 98,536.98 and 41,189.88 is: 56,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406.37 : 98,536.98 = 41,189.88 : x
  2. Step 2: Convert to fraction form
    71,406.37/98,536.98 = 41,189.88/x
  3. Step 3: Cross multiply
    71,406.37x = 98,536.98 × 41,189.88
  4. Step 4: Simplify right side
    71,406.37x = 4,058,726,905.74
  5. Step 5: Solve for x
    x = 4,058,726,905.74/71,406.37
  6. Step 6: Final answer
    x = 56,839.84

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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.