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Finding the Fourth Proportional to 38,901.36, 53,680.72 and 21,900.20

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Solution

The fourth proportional to 38,901.36, 53,680.72 and 21,900.20 is: 30,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,901.36 : 53,680.72 = 21,900.20 : x
  2. Step 2: Convert to fraction form
    38,901.36/53,680.72 = 21,900.20/x
  3. Step 3: Cross multiply
    38,901.36x = 53,680.72 × 21,900.20
  4. Step 4: Simplify right side
    38,901.36x = 1,175,618,504.14
  5. Step 5: Solve for x
    x = 1,175,618,504.14/38,901.36
  6. Step 6: Final answer
    x = 30,220.50

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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.