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Finding the Fourth Proportional to 82,794.90, 114,039.30 and 63,638.04

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Solution

The fourth proportional to 82,794.90, 114,039.30 and 63,638.04 is: 87,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,794.90 : 114,039.30 = 63,638.04 : x
  2. Step 2: Convert to fraction form
    82,794.90/114,039.30 = 63,638.04/x
  3. Step 3: Cross multiply
    82,794.90x = 114,039.30 × 63,638.04
  4. Step 4: Simplify right side
    82,794.90x = 7,257,237,534.97
  5. Step 5: Solve for x
    x = 7,257,237,534.97/82,794.90
  6. Step 6: Final answer
    x = 87,653.20

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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.