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Finding the Fourth Proportional to 44,341.52, 61,201.32 and 30,200

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Solution

The fourth proportional to 44,341.52, 61,201.32 and 30,200 is: 41,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,341.52 : 61,201.32 = 30,200 : x
  2. Step 2: Convert to fraction form
    44,341.52/61,201.32 = 30,200/x
  3. Step 3: Cross multiply
    44,341.52x = 61,201.32 × 30,200
  4. Step 4: Simplify right side
    44,341.52x = 1,848,279,864
  5. Step 5: Solve for x
    x = 1,848,279,864/44,341.52
  6. Step 6: Final answer
    x = 41,682.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.