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Finding the Fourth Proportional to 76,996,848.80, 115,560,591.60 and 31,591,229.60

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Solution

The fourth proportional to 76,996,848.80, 115,560,591.60 and 31,591,229.60 is: 47,413,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,996,848.80 : 115,560,591.60 = 31,591,229.60 : x
  2. Step 2: Convert to fraction form
    76,996,848.80/115,560,591.60 = 31,591,229.60/x
  3. Step 3: Cross multiply
    76,996,848.80x = 115,560,591.60 × 31,591,229.60
  4. Step 4: Simplify right side
    76,996,848.80x = 3,650,701,181,947,431.50
  5. Step 5: Solve for x
    x = 3,650,701,181,947,431.50/76,996,848.80
  6. Step 6: Final answer
    x = 47,413,644.05

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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.