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Finding the Fourth Proportional to 30,740.79, 42,145.78 and 30,180.37

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Solution

The fourth proportional to 30,740.79, 42,145.78 and 30,180.37 is: 41,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.79 : 42,145.78 = 30,180.37 : x
  2. Step 2: Convert to fraction form
    30,740.79/42,145.78 = 30,180.37/x
  3. Step 3: Cross multiply
    30,740.79x = 42,145.78 × 30,180.37
  4. Step 4: Simplify right side
    30,740.79x = 1,271,975,234.34
  5. Step 5: Solve for x
    x = 1,271,975,234.34/30,740.79
  6. Step 6: Final answer
    x = 41,377.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.