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Finding the Fourth Proportional to 35,824, 53,736.16 and 11,200

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Solution

The fourth proportional to 35,824, 53,736.16 and 11,200 is: 16,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,824 : 53,736.16 = 11,200 : x
  2. Step 2: Convert to fraction form
    35,824/53,736.16 = 11,200/x
  3. Step 3: Cross multiply
    35,824x = 53,736.16 × 11,200
  4. Step 4: Simplify right side
    35,824x = 601,844,992
  5. Step 5: Solve for x
    x = 601,844,992/35,824
  6. Step 6: Final answer
    x = 16,800.05

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