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Finding the Fourth Proportional to 45,842.76, 68,783.70 and 19,194.96

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Solution

The fourth proportional to 45,842.76, 68,783.70 and 19,194.96 is: 28,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,842.76 : 68,783.70 = 19,194.96 : x
  2. Step 2: Convert to fraction form
    45,842.76/68,783.70 = 19,194.96/x
  3. Step 3: Cross multiply
    45,842.76x = 68,783.70 × 19,194.96
  4. Step 4: Simplify right side
    45,842.76x = 1,320,300,370.15
  5. Step 5: Solve for x
    x = 1,320,300,370.15/45,842.76
  6. Step 6: Final answer
    x = 28,800.63

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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.