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Finding the Fourth Proportional to 38,933.80, 53,729.75 and 21,938.20

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Solution

The fourth proportional to 38,933.80, 53,729.75 and 21,938.20 is: 30,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,933.80 : 53,729.75 = 21,938.20 : x
  2. Step 2: Convert to fraction form
    38,933.80/53,729.75 = 21,938.20/x
  3. Step 3: Cross multiply
    38,933.80x = 53,729.75 × 21,938.20
  4. Step 4: Simplify right side
    38,933.80x = 1,178,734,001.45
  5. Step 5: Solve for x
    x = 1,178,734,001.45/38,933.80
  6. Step 6: Final answer
    x = 30,275.34

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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.