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Finding the Fourth Proportional to 33,341.78, 49,978.11 and 15,798.26

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Solution

The fourth proportional to 33,341.78, 49,978.11 and 15,798.26 is: 23,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,341.78 : 49,978.11 = 15,798.26 : x
  2. Step 2: Convert to fraction form
    33,341.78/49,978.11 = 15,798.26/x
  3. Step 3: Cross multiply
    33,341.78x = 49,978.11 × 15,798.26
  4. Step 4: Simplify right side
    33,341.78x = 789,567,176.09
  5. Step 5: Solve for x
    x = 789,567,176.09/33,341.78
  6. Step 6: Final answer
    x = 23,681.01

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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.