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Finding the Fourth Proportional to 83,239, 124,858.62 and 33,991

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Solution

The fourth proportional to 83,239, 124,858.62 and 33,991 is: 50,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,239 : 124,858.62 = 33,991 : x
  2. Step 2: Convert to fraction form
    83,239/124,858.62 = 33,991/x
  3. Step 3: Cross multiply
    83,239x = 124,858.62 × 33,991
  4. Step 4: Simplify right side
    83,239x = 4,244,069,352.42
  5. Step 5: Solve for x
    x = 4,244,069,352.42/83,239
  6. Step 6: Final answer
    x = 50,986.55

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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.