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Finding the Fourth Proportional to 33,795.76, 50,615.88 and 26,978.80

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Solution

The fourth proportional to 33,795.76, 50,615.88 and 26,978.80 is: 40,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,795.76 : 50,615.88 = 26,978.80 : x
  2. Step 2: Convert to fraction form
    33,795.76/50,615.88 = 26,978.80/x
  3. Step 3: Cross multiply
    33,795.76x = 50,615.88 × 26,978.80
  4. Step 4: Simplify right side
    33,795.76x = 1,365,555,703.34
  5. Step 5: Solve for x
    x = 1,365,555,703.34/33,795.76
  6. Step 6: Final answer
    x = 40,406.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.