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Finding the Fourth Proportional to 71,585.37, 98,783.31 and 41,365.80

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Solution

The fourth proportional to 71,585.37, 98,783.31 and 41,365.80 is: 57,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,585.37 : 98,783.31 = 41,365.80 : x
  2. Step 2: Convert to fraction form
    71,585.37/98,783.31 = 41,365.80/x
  3. Step 3: Cross multiply
    71,585.37x = 98,783.31 × 41,365.80
  4. Step 4: Simplify right side
    71,585.37x = 4,086,250,644.80
  5. Step 5: Solve for x
    x = 4,086,250,644.80/71,585.37
  6. Step 6: Final answer
    x = 57,082.20

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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.