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Finding the Fourth Proportional to 49,671.80, 74,450.10 and 20,070.20

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Solution

The fourth proportional to 49,671.80, 74,450.10 and 20,070.20 is: 30,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,671.80 : 74,450.10 = 20,070.20 : x
  2. Step 2: Convert to fraction form
    49,671.80/74,450.10 = 20,070.20/x
  3. Step 3: Cross multiply
    49,671.80x = 74,450.10 × 20,070.20
  4. Step 4: Simplify right side
    49,671.80x = 1,494,228,397.02
  5. Step 5: Solve for x
    x = 1,494,228,397.02/49,671.80
  6. Step 6: Final answer
    x = 30,082.03

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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.