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Finding the Fourth Proportional to 30,164.70, 41,677.35 and 23,839.74

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Solution

The fourth proportional to 30,164.70, 41,677.35 and 23,839.74 is: 32,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.70 : 41,677.35 = 23,839.74 : x
  2. Step 2: Convert to fraction form
    30,164.70/41,677.35 = 23,839.74/x
  3. Step 3: Cross multiply
    30,164.70x = 41,677.35 × 23,839.74
  4. Step 4: Simplify right side
    30,164.70x = 993,577,187.89
  5. Step 5: Solve for x
    x = 993,577,187.89/30,164.70
  6. Step 6: Final answer
    x = 32,938.41

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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.