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Finding the Fourth Proportional to 38,967.80, 53,772.36 and 21,971.12

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Solution

The fourth proportional to 38,967.80, 53,772.36 and 21,971.12 is: 30,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,967.80 : 53,772.36 = 21,971.12 : x
  2. Step 2: Convert to fraction form
    38,967.80/53,772.36 = 21,971.12/x
  3. Step 3: Cross multiply
    38,967.80x = 53,772.36 × 21,971.12
  4. Step 4: Simplify right side
    38,967.80x = 1,181,438,974.24
  5. Step 5: Solve for x
    x = 1,181,438,974.24/38,967.80
  6. Step 6: Final answer
    x = 30,318.34

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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.