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Finding the Fourth Proportional to 81,994.82, 122,943.62 and 28,661.18

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Solution

The fourth proportional to 81,994.82, 122,943.62 and 28,661.18 is: 42,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,994.82 : 122,943.62 = 28,661.18 : x
  2. Step 2: Convert to fraction form
    81,994.82/122,943.62 = 28,661.18/x
  3. Step 3: Cross multiply
    81,994.82x = 122,943.62 × 28,661.18
  4. Step 4: Simplify right side
    81,994.82x = 3,523,708,679.61
  5. Step 5: Solve for x
    x = 3,523,708,679.61/81,994.82
  6. Step 6: Final answer
    x = 42,974.77

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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.