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Finding the Fourth Proportional to 82,694.44, 114,117.54 and 44,969

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Solution

The fourth proportional to 82,694.44, 114,117.54 and 44,969 is: 62,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,694.44 : 114,117.54 = 44,969 : x
  2. Step 2: Convert to fraction form
    82,694.44/114,117.54 = 44,969/x
  3. Step 3: Cross multiply
    82,694.44x = 114,117.54 × 44,969
  4. Step 4: Simplify right side
    82,694.44x = 5,131,751,656.26
  5. Step 5: Solve for x
    x = 5,131,751,656.26/82,694.44
  6. Step 6: Final answer
    x = 62,056.79

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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.