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Finding the Fourth Proportional to 82,039.56, 113,218.74 and 50,199

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Solution

The fourth proportional to 82,039.56, 113,218.74 and 50,199 is: 69,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,039.56 : 113,218.74 = 50,199 : x
  2. Step 2: Convert to fraction form
    82,039.56/113,218.74 = 50,199/x
  3. Step 3: Cross multiply
    82,039.56x = 113,218.74 × 50,199
  4. Step 4: Simplify right side
    82,039.56x = 5,683,467,529.26
  5. Step 5: Solve for x
    x = 5,683,467,529.26/82,039.56
  6. Step 6: Final answer
    x = 69,277.16

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Why These Related Problems?

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