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Finding the Fourth Proportional to 83,242, 124,863.12 and 33,994

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Solution

The fourth proportional to 83,242, 124,863.12 and 33,994 is: 50,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242 : 124,863.12 = 33,994 : x
  2. Step 2: Convert to fraction form
    83,242/124,863.12 = 33,994/x
  3. Step 3: Cross multiply
    83,242x = 124,863.12 × 33,994
  4. Step 4: Simplify right side
    83,242x = 4,244,596,901.28
  5. Step 5: Solve for x
    x = 4,244,596,901.28/83,242
  6. Step 6: Final answer
    x = 50,991.05

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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.