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Finding the Fourth Proportional to 38,548.32, 53,198.71 and 23,438.48

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Solution

The fourth proportional to 38,548.32, 53,198.71 and 23,438.48 is: 32,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,548.32 : 53,198.71 = 23,438.48 : x
  2. Step 2: Convert to fraction form
    38,548.32/53,198.71 = 23,438.48/x
  3. Step 3: Cross multiply
    38,548.32x = 53,198.71 × 23,438.48
  4. Step 4: Simplify right side
    38,548.32x = 1,246,896,634.37
  5. Step 5: Solve for x
    x = 1,246,896,634.37/38,548.32
  6. Step 6: Final answer
    x = 32,346.33

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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.