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Finding the Fourth Proportional to 30,661.67, 42,317.01 and 18,722.48

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Solution

The fourth proportional to 30,661.67, 42,317.01 and 18,722.48 is: 25,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.67 : 42,317.01 = 18,722.48 : x
  2. Step 2: Convert to fraction form
    30,661.67/42,317.01 = 18,722.48/x
  3. Step 3: Cross multiply
    30,661.67x = 42,317.01 × 18,722.48
  4. Step 4: Simplify right side
    30,661.67x = 792,279,373.38
  5. Step 5: Solve for x
    x = 792,279,373.38/30,661.67
  6. Step 6: Final answer
    x = 25,839.41

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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.