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Finding the Fourth Proportional to 30,778.16, 46,250.60 and 16,748.56

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Solution

The fourth proportional to 30,778.16, 46,250.60 and 16,748.56 is: 25,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.16 : 46,250.60 = 16,748.56 : x
  2. Step 2: Convert to fraction form
    30,778.16/46,250.60 = 16,748.56/x
  3. Step 3: Cross multiply
    30,778.16x = 46,250.60 × 16,748.56
  4. Step 4: Simplify right side
    30,778.16x = 774,630,949.14
  5. Step 5: Solve for x
    x = 774,630,949.14/30,778.16
  6. Step 6: Final answer
    x = 25,168.20

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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.