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Finding the Fourth Proportional to 41,144, 61,726.88 and 23,620

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Solution

The fourth proportional to 41,144, 61,726.88 and 23,620 is: 35,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,144 : 61,726.88 = 23,620 : x
  2. Step 2: Convert to fraction form
    41,144/61,726.88 = 23,620/x
  3. Step 3: Cross multiply
    41,144x = 61,726.88 × 23,620
  4. Step 4: Simplify right side
    41,144x = 1,457,988,905.60
  5. Step 5: Solve for x
    x = 1,457,988,905.60/41,144
  6. Step 6: Final answer
    x = 35,436.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.