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Finding the Fourth Proportional to 81,154.91, 111,994.12 and 44,361.87

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Solution

The fourth proportional to 81,154.91, 111,994.12 and 44,361.87 is: 61,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,154.91 : 111,994.12 = 44,361.87 : x
  2. Step 2: Convert to fraction form
    81,154.91/111,994.12 = 44,361.87/x
  3. Step 3: Cross multiply
    81,154.91x = 111,994.12 × 44,361.87
  4. Step 4: Simplify right side
    81,154.91x = 4,968,268,882.22
  5. Step 5: Solve for x
    x = 4,968,268,882.22/81,154.91
  6. Step 6: Final answer
    x = 61,219.57

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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.