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Finding the Fourth Proportional to 30,144.50, 41,599.41 and 16,896.50

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Solution

The fourth proportional to 30,144.50, 41,599.41 and 16,896.50 is: 23,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.50 : 41,599.41 = 16,896.50 : x
  2. Step 2: Convert to fraction form
    30,144.50/41,599.41 = 16,896.50/x
  3. Step 3: Cross multiply
    30,144.50x = 41,599.41 × 16,896.50
  4. Step 4: Simplify right side
    30,144.50x = 702,884,431.07
  5. Step 5: Solve for x
    x = 702,884,431.07/30,144.50
  6. Step 6: Final answer
    x = 23,317.17

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1.5x scale

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.