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Finding the Fourth Proportional to 38,817.35, 53,568 and 21,822.54

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Solution

The fourth proportional to 38,817.35, 53,568 and 21,822.54 is: 30,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,817.35 : 53,568 = 21,822.54 : x
  2. Step 2: Convert to fraction form
    38,817.35/53,568 = 21,822.54/x
  3. Step 3: Cross multiply
    38,817.35x = 53,568 × 21,822.54
  4. Step 4: Simplify right side
    38,817.35x = 1,168,989,822.72
  5. Step 5: Solve for x
    x = 1,168,989,822.72/38,817.35
  6. Step 6: Final answer
    x = 30,115.14

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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.