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Finding the Fourth Proportional to 53,305, 73,567.38 and 30,949

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Solution

The fourth proportional to 53,305, 73,567.38 and 30,949 is: 42,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,305 : 73,567.38 = 30,949 : x
  2. Step 2: Convert to fraction form
    53,305/73,567.38 = 30,949/x
  3. Step 3: Cross multiply
    53,305x = 73,567.38 × 30,949
  4. Step 4: Simplify right side
    53,305x = 2,276,836,843.62
  5. Step 5: Solve for x
    x = 2,276,836,843.62/53,305
  6. Step 6: Final answer
    x = 42,713.38

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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.