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Finding the Fourth Proportional to 82,493.82, 113,841.78 and 44,768.08

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Solution

The fourth proportional to 82,493.82, 113,841.78 and 44,768.08 is: 61,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,493.82 : 113,841.78 = 44,768.08 : x
  2. Step 2: Convert to fraction form
    82,493.82/113,841.78 = 44,768.08/x
  3. Step 3: Cross multiply
    82,493.82x = 113,841.78 × 44,768.08
  4. Step 4: Simplify right side
    82,493.82x = 5,096,477,914.38
  5. Step 5: Solve for x
    x = 5,096,477,914.38/82,493.82
  6. Step 6: Final answer
    x = 61,780.12

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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.