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Finding the Fourth Proportional to 49,069.16, 67,749.64 and 32,961

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Solution

The fourth proportional to 49,069.16, 67,749.64 and 32,961 is: 45,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,069.16 : 67,749.64 = 32,961 : x
  2. Step 2: Convert to fraction form
    49,069.16/67,749.64 = 32,961/x
  3. Step 3: Cross multiply
    49,069.16x = 67,749.64 × 32,961
  4. Step 4: Simplify right side
    49,069.16x = 2,233,095,884.04
  5. Step 5: Solve for x
    x = 2,233,095,884.04/49,069.16
  6. Step 6: Final answer
    x = 45,509.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.