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Finding the Fourth Proportional to 30,821,744.60, 46,232,616.90 and 15,705,200.60

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Solution

The fourth proportional to 30,821,744.60, 46,232,616.90 and 15,705,200.60 is: 23,557,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821,744.60 : 46,232,616.90 = 15,705,200.60 : x
  2. Step 2: Convert to fraction form
    30,821,744.60/46,232,616.90 = 15,705,200.60/x
  3. Step 3: Cross multiply
    30,821,744.60x = 46,232,616.90 × 15,705,200.60
  4. Step 4: Simplify right side
    30,821,744.60x = 726,092,522,677,450.12
  5. Step 5: Solve for x
    x = 726,092,522,677,450.12/30,821,744.60
  6. Step 6: Final answer
    x = 23,557,800.90

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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.