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Finding the Fourth Proportional to 64,736.34, 97,114.06 and 33,164.24

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Solution

The fourth proportional to 64,736.34, 97,114.06 and 33,164.24 is: 49,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736.34 : 97,114.06 = 33,164.24 : x
  2. Step 2: Convert to fraction form
    64,736.34/97,114.06 = 33,164.24/x
  3. Step 3: Cross multiply
    64,736.34x = 97,114.06 × 33,164.24
  4. Step 4: Simplify right side
    64,736.34x = 3,220,713,993.21
  5. Step 5: Solve for x
    x = 3,220,713,993.21/64,736.34
  6. Step 6: Final answer
    x = 49,751.25

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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.