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Finding the Fourth Proportional to 23,991.50, 35,978.58 and 10,141.58

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Solution

The fourth proportional to 23,991.50, 35,978.58 and 10,141.58 is: 15,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,991.50 : 35,978.58 = 10,141.58 : x
  2. Step 2: Convert to fraction form
    23,991.50/35,978.58 = 10,141.58/x
  3. Step 3: Cross multiply
    23,991.50x = 35,978.58 × 10,141.58
  4. Step 4: Simplify right side
    23,991.50x = 364,879,647.36
  5. Step 5: Solve for x
    x = 364,879,647.36/23,991.50
  6. Step 6: Final answer
    x = 15,208.71

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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.