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Finding the Fourth Proportional to 38,568.20, 53,224.80 and 21,801.20

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Solution

The fourth proportional to 38,568.20, 53,224.80 and 21,801.20 is: 30,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,568.20 : 53,224.80 = 21,801.20 : x
  2. Step 2: Convert to fraction form
    38,568.20/53,224.80 = 21,801.20/x
  3. Step 3: Cross multiply
    38,568.20x = 53,224.80 × 21,801.20
  4. Step 4: Simplify right side
    38,568.20x = 1,160,364,509.76
  5. Step 5: Solve for x
    x = 1,160,364,509.76/38,568.20
  6. Step 6: Final answer
    x = 30,086.04

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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.