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Finding the Fourth Proportional to 30,085.53, 41,517.41 and 16,656

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Solution

The fourth proportional to 30,085.53, 41,517.41 and 16,656 is: 22,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085.53 : 41,517.41 = 16,656 : x
  2. Step 2: Convert to fraction form
    30,085.53/41,517.41 = 16,656/x
  3. Step 3: Cross multiply
    30,085.53x = 41,517.41 × 16,656
  4. Step 4: Simplify right side
    30,085.53x = 691,513,897.68
  5. Step 5: Solve for x
    x = 691,513,897.68/30,085.53
  6. Step 6: Final answer
    x = 22,984.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.