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Finding the Fourth Proportional to 38,296.90, 52,848.02 and 22,161.63

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Solution

The fourth proportional to 38,296.90, 52,848.02 and 22,161.63 is: 30,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.90 : 52,848.02 = 22,161.63 : x
  2. Step 2: Convert to fraction form
    38,296.90/52,848.02 = 22,161.63/x
  3. Step 3: Cross multiply
    38,296.90x = 52,848.02 × 22,161.63
  4. Step 4: Simplify right side
    38,296.90x = 1,171,198,010.82
  5. Step 5: Solve for x
    x = 1,171,198,010.82/38,296.90
  6. Step 6: Final answer
    x = 30,582.06

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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.