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Finding the Fourth Proportional to 71,596.64, 98,803.44 and 39,765.60

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Solution

The fourth proportional to 71,596.64, 98,803.44 and 39,765.60 is: 54,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,596.64 : 98,803.44 = 39,765.60 : x
  2. Step 2: Convert to fraction form
    71,596.64/98,803.44 = 39,765.60/x
  3. Step 3: Cross multiply
    71,596.64x = 98,803.44 × 39,765.60
  4. Step 4: Simplify right side
    71,596.64x = 3,928,978,073.66
  5. Step 5: Solve for x
    x = 3,928,978,073.66/71,596.64
  6. Step 6: Final answer
    x = 54,876.57

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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.