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Finding the Fourth Proportional to 64,755.44, 97,108.56 and 30,986.80

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Solution

The fourth proportional to 64,755.44, 97,108.56 and 30,986.80 is: 46,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,755.44 : 97,108.56 = 30,986.80 : x
  2. Step 2: Convert to fraction form
    64,755.44/97,108.56 = 30,986.80/x
  3. Step 3: Cross multiply
    64,755.44x = 97,108.56 × 30,986.80
  4. Step 4: Simplify right side
    64,755.44x = 3,009,083,284.24
  5. Step 5: Solve for x
    x = 3,009,083,284.24/64,755.44
  6. Step 6: Final answer
    x = 46,468.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.