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Finding the Fourth Proportional to 49,775.98, 74,662.10 and 12,336.16

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Solution

The fourth proportional to 49,775.98, 74,662.10 and 12,336.16 is: 18,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,775.98 : 74,662.10 = 12,336.16 : x
  2. Step 2: Convert to fraction form
    49,775.98/74,662.10 = 12,336.16/x
  3. Step 3: Cross multiply
    49,775.98x = 74,662.10 × 12,336.16
  4. Step 4: Simplify right side
    49,775.98x = 921,043,611.54
  5. Step 5: Solve for x
    x = 921,043,611.54/49,775.98
  6. Step 6: Final answer
    x = 18,503.78

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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.