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Finding the Fourth Proportional to 64,849.23, 97,189.05 and 33,232.50

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Solution

The fourth proportional to 64,849.23, 97,189.05 and 33,232.50 is: 49,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,849.23 : 97,189.05 = 33,232.50 : x
  2. Step 2: Convert to fraction form
    64,849.23/97,189.05 = 33,232.50/x
  3. Step 3: Cross multiply
    64,849.23x = 97,189.05 × 33,232.50
  4. Step 4: Simplify right side
    64,849.23x = 3,229,835,104.13
  5. Step 5: Solve for x
    x = 3,229,835,104.13/64,849.23
  6. Step 6: Final answer
    x = 49,805.30

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