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Finding the Fourth Proportional to 73,730.34, 110,608.47 and 23,821.38

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Solution

The fourth proportional to 73,730.34, 110,608.47 and 23,821.38 is: 35,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,730.34 : 110,608.47 = 23,821.38 : x
  2. Step 2: Convert to fraction form
    73,730.34/110,608.47 = 23,821.38/x
  3. Step 3: Cross multiply
    73,730.34x = 110,608.47 × 23,821.38
  4. Step 4: Simplify right side
    73,730.34x = 2,634,846,395.09
  5. Step 5: Solve for x
    x = 2,634,846,395.09/73,730.34
  6. Step 6: Final answer
    x = 35,736.26

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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.