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Finding the Fourth Proportional to 82,794.89, 114,039.30 and 63,638.03

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Solution

The fourth proportional to 82,794.89, 114,039.30 and 63,638.03 is: 87,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,794.89 : 114,039.30 = 63,638.03 : x
  2. Step 2: Convert to fraction form
    82,794.89/114,039.30 = 63,638.03/x
  3. Step 3: Cross multiply
    82,794.89x = 114,039.30 × 63,638.03
  4. Step 4: Simplify right side
    82,794.89x = 7,257,236,394.58
  5. Step 5: Solve for x
    x = 7,257,236,394.58/82,794.89
  6. Step 6: Final answer
    x = 87,653.19

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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.