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Finding the Fourth Proportional to 20,731,770.80, 31,097,656.20 and 20,412,906.20

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Solution

The fourth proportional to 20,731,770.80, 31,097,656.20 and 20,412,906.20 is: 30,619,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731,770.80 : 31,097,656.20 = 20,412,906.20 : x
  2. Step 2: Convert to fraction form
    20,731,770.80/31,097,656.20 = 20,412,906.20/x
  3. Step 3: Cross multiply
    20,731,770.80x = 31,097,656.20 × 20,412,906.20
  4. Step 4: Simplify right side
    20,731,770.80x = 634,793,539,050,448.38
  5. Step 5: Solve for x
    x = 634,793,539,050,448.38/20,731,770.80
  6. Step 6: Final answer
    x = 30,619,359.30

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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.