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Finding the Fourth Proportional to 64,952.88, 97,409.52 and 33,771.12

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Solution

The fourth proportional to 64,952.88, 97,409.52 and 33,771.12 is: 50,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.88 : 97,409.52 = 33,771.12 : x
  2. Step 2: Convert to fraction form
    64,952.88/97,409.52 = 33,771.12/x
  3. Step 3: Cross multiply
    64,952.88x = 97,409.52 × 33,771.12
  4. Step 4: Simplify right side
    64,952.88x = 3,289,628,589.06
  5. Step 5: Solve for x
    x = 3,289,628,589.06/64,952.88
  6. Step 6: Final answer
    x = 50,646.39

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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.