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Finding the Fourth Proportional to 38,573.16, 53,231.04 and 21,806.16

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Solution

The fourth proportional to 38,573.16, 53,231.04 and 21,806.16 is: 30,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,573.16 : 53,231.04 = 21,806.16 : x
  2. Step 2: Convert to fraction form
    38,573.16/53,231.04 = 21,806.16/x
  3. Step 3: Cross multiply
    38,573.16x = 53,231.04 × 21,806.16
  4. Step 4: Simplify right side
    38,573.16x = 1,160,764,575.21
  5. Step 5: Solve for x
    x = 1,160,764,575.21/38,573.16
  6. Step 6: Final answer
    x = 30,092.55

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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.