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Finding the Fourth Proportional to 30,493.88, 45,740.82 and 20,103.20

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Solution

The fourth proportional to 30,493.88, 45,740.82 and 20,103.20 is: 30,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.88 : 45,740.82 = 20,103.20 : x
  2. Step 2: Convert to fraction form
    30,493.88/45,740.82 = 20,103.20/x
  3. Step 3: Cross multiply
    30,493.88x = 45,740.82 × 20,103.20
  4. Step 4: Simplify right side
    30,493.88x = 919,536,852.62
  5. Step 5: Solve for x
    x = 919,536,852.62/30,493.88
  6. Step 6: Final answer
    x = 30,154.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.