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Finding the Fourth Proportional to 84,838.96, 117,064.74 and 49,022.03

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Solution

The fourth proportional to 84,838.96, 117,064.74 and 49,022.03 is: 67,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,838.96 : 117,064.74 = 49,022.03 : x
  2. Step 2: Convert to fraction form
    84,838.96/117,064.74 = 49,022.03/x
  3. Step 3: Cross multiply
    84,838.96x = 117,064.74 × 49,022.03
  4. Step 4: Simplify right side
    84,838.96x = 5,738,751,014.23
  5. Step 5: Solve for x
    x = 5,738,751,014.23/84,838.96
  6. Step 6: Final answer
    x = 67,642.87

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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.