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Finding the Fourth Proportional to 38,611.50, 53,283.51 and 21,844.50

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Solution

The fourth proportional to 38,611.50, 53,283.51 and 21,844.50 is: 30,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,611.50 : 53,283.51 = 21,844.50 : x
  2. Step 2: Convert to fraction form
    38,611.50/53,283.51 = 21,844.50/x
  3. Step 3: Cross multiply
    38,611.50x = 53,283.51 × 21,844.50
  4. Step 4: Simplify right side
    38,611.50x = 1,163,951,634.20
  5. Step 5: Solve for x
    x = 1,163,951,634.20/38,611.50
  6. Step 6: Final answer
    x = 30,145.21

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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.