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Finding the Fourth Proportional to 49,397.50, 74,096.34 and 12,461.50

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Solution

The fourth proportional to 49,397.50, 74,096.34 and 12,461.50 is: 18,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,397.50 : 74,096.34 = 12,461.50 : x
  2. Step 2: Convert to fraction form
    49,397.50/74,096.34 = 12,461.50/x
  3. Step 3: Cross multiply
    49,397.50x = 74,096.34 × 12,461.50
  4. Step 4: Simplify right side
    49,397.50x = 923,351,540.91
  5. Step 5: Solve for x
    x = 923,351,540.91/49,397.50
  6. Step 6: Final answer
    x = 18,692.27

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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.