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Finding the Fourth Proportional to 38,930.14, 53,724 and 22,164.22

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Solution

The fourth proportional to 38,930.14, 53,724 and 22,164.22 is: 30,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,930.14 : 53,724 = 22,164.22 : x
  2. Step 2: Convert to fraction form
    38,930.14/53,724 = 22,164.22/x
  3. Step 3: Cross multiply
    38,930.14x = 53,724 × 22,164.22
  4. Step 4: Simplify right side
    38,930.14x = 1,190,750,555.28
  5. Step 5: Solve for x
    x = 1,190,750,555.28/38,930.14
  6. Step 6: Final answer
    x = 30,586.86

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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.