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Finding the Fourth Proportional to 82,499.84, 113,850.06 and 44,774.08

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Solution

The fourth proportional to 82,499.84, 113,850.06 and 44,774.08 is: 61,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,499.84 : 113,850.06 = 44,774.08 : x
  2. Step 2: Convert to fraction form
    82,499.84/113,850.06 = 44,774.08/x
  3. Step 3: Cross multiply
    82,499.84x = 113,850.06 × 44,774.08
  4. Step 4: Simplify right side
    82,499.84x = 5,097,531,694.44
  5. Step 5: Solve for x
    x = 5,097,531,694.44/82,499.84
  6. Step 6: Final answer
    x = 61,788.38

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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.