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Finding the Fourth Proportional to 72,764,793.60, 109,147,190.40 and 49,806,542.40

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Solution

The fourth proportional to 72,764,793.60, 109,147,190.40 and 49,806,542.40 is: 74,709,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,764,793.60 : 109,147,190.40 = 49,806,542.40 : x
  2. Step 2: Convert to fraction form
    72,764,793.60/109,147,190.40 = 49,806,542.40/x
  3. Step 3: Cross multiply
    72,764,793.60x = 109,147,190.40 × 49,806,542.40
  4. Step 4: Simplify right side
    72,764,793.60x = 5,436,244,166,498,473
  5. Step 5: Solve for x
    x = 5,436,244,166,498,473/72,764,793.60
  6. Step 6: Final answer
    x = 74,709,813.60

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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.