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Finding the Fourth Proportional to 30,154.60, 45,231.90 and 21,406.60

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Solution

The fourth proportional to 30,154.60, 45,231.90 and 21,406.60 is: 32,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.60 : 45,231.90 = 21,406.60 : x
  2. Step 2: Convert to fraction form
    30,154.60/45,231.90 = 21,406.60/x
  3. Step 3: Cross multiply
    30,154.60x = 45,231.90 × 21,406.60
  4. Step 4: Simplify right side
    30,154.60x = 968,261,190.54
  5. Step 5: Solve for x
    x = 968,261,190.54/30,154.60
  6. Step 6: Final answer
    x = 32,109.90

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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.