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Finding the Fourth Proportional to 49,978.33, 74,967.39 and 13,042.33

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Solution

The fourth proportional to 49,978.33, 74,967.39 and 13,042.33 is: 19,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,978.33 : 74,967.39 = 13,042.33 : x
  2. Step 2: Convert to fraction form
    49,978.33/74,967.39 = 13,042.33/x
  3. Step 3: Cross multiply
    49,978.33x = 74,967.39 × 13,042.33
  4. Step 4: Simplify right side
    49,978.33x = 977,749,439.62
  5. Step 5: Solve for x
    x = 977,749,439.62/49,978.33
  6. Step 6: Final answer
    x = 19,563.47

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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.