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Finding the Fourth Proportional to 38,965.37, 53,768.97 and 21,973.82

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Solution

The fourth proportional to 38,965.37, 53,768.97 and 21,973.82 is: 30,322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965.37 : 53,768.97 = 21,973.82 : x
  2. Step 2: Convert to fraction form
    38,965.37/53,768.97 = 21,973.82/x
  3. Step 3: Cross multiply
    38,965.37x = 53,768.97 × 21,973.82
  4. Step 4: Simplify right side
    38,965.37x = 1,181,509,399.52
  5. Step 5: Solve for x
    x = 1,181,509,399.52/38,965.37
  6. Step 6: Final answer
    x = 30,322.04

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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.