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Finding the Fourth Proportional to 46,517.88, 69,764.46 and 20,216.46

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Solution

The fourth proportional to 46,517.88, 69,764.46 and 20,216.46 is: 30,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,517.88 : 69,764.46 = 20,216.46 : x
  2. Step 2: Convert to fraction form
    46,517.88/69,764.46 = 20,216.46/x
  3. Step 3: Cross multiply
    46,517.88x = 69,764.46 × 20,216.46
  4. Step 4: Simplify right side
    46,517.88x = 1,410,390,415.01
  5. Step 5: Solve for x
    x = 1,410,390,415.01/46,517.88
  6. Step 6: Final answer
    x = 30,319.32

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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.