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Finding the Fourth Proportional to 38,611.36, 53,282.64 and 21,844

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Solution

The fourth proportional to 38,611.36, 53,282.64 and 21,844 is: 30,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,611.36 : 53,282.64 = 21,844 : x
  2. Step 2: Convert to fraction form
    38,611.36/53,282.64 = 21,844/x
  3. Step 3: Cross multiply
    38,611.36x = 53,282.64 × 21,844
  4. Step 4: Simplify right side
    38,611.36x = 1,163,905,988.16
  5. Step 5: Solve for x
    x = 1,163,905,988.16/38,611.36
  6. Step 6: Final answer
    x = 30,144.13

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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.