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Finding the Fourth Proportional to 43,769, 60,401.22 and 23,897

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Solution

The fourth proportional to 43,769, 60,401.22 and 23,897 is: 32,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,769 : 60,401.22 = 23,897 : x
  2. Step 2: Convert to fraction form
    43,769/60,401.22 = 23,897/x
  3. Step 3: Cross multiply
    43,769x = 60,401.22 × 23,897
  4. Step 4: Simplify right side
    43,769x = 1,443,407,954.34
  5. Step 5: Solve for x
    x = 1,443,407,954.34/43,769
  6. Step 6: Final answer
    x = 32,977.86

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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.