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Finding the Fourth Proportional to 49,852.96, 68,797.12 and 28,633.60

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Solution

The fourth proportional to 49,852.96, 68,797.12 and 28,633.60 is: 39,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,852.96 : 68,797.12 = 28,633.60 : x
  2. Step 2: Convert to fraction form
    49,852.96/68,797.12 = 28,633.60/x
  3. Step 3: Cross multiply
    49,852.96x = 68,797.12 × 28,633.60
  4. Step 4: Simplify right side
    49,852.96x = 1,969,909,215.23
  5. Step 5: Solve for x
    x = 1,969,909,215.23/49,852.96
  6. Step 6: Final answer
    x = 39,514.39

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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.