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Finding the Fourth Proportional to 23,825.54, 35,741.60 and 8,035.09

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Solution

The fourth proportional to 23,825.54, 35,741.60 and 8,035.09 is: 12,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.54 : 35,741.60 = 8,035.09 : x
  2. Step 2: Convert to fraction form
    23,825.54/35,741.60 = 8,035.09/x
  3. Step 3: Cross multiply
    23,825.54x = 35,741.60 × 8,035.09
  4. Step 4: Simplify right side
    23,825.54x = 287,186,968.66
  5. Step 5: Solve for x
    x = 287,186,968.66/23,825.54
  6. Step 6: Final answer
    x = 12,053.74

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1.5x scale

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.