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Finding the Fourth Proportional to 38,973.69, 53,780.49 and 21,982.11

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Solution

The fourth proportional to 38,973.69, 53,780.49 and 21,982.11 is: 30,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,973.69 : 53,780.49 = 21,982.11 : x
  2. Step 2: Convert to fraction form
    38,973.69/53,780.49 = 21,982.11/x
  3. Step 3: Cross multiply
    38,973.69x = 53,780.49 × 21,982.11
  4. Step 4: Simplify right side
    38,973.69x = 1,182,208,647.03
  5. Step 5: Solve for x
    x = 1,182,208,647.03/38,973.69
  6. Step 6: Final answer
    x = 30,333.51

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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.