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Finding the Fourth Proportional to 30,641.58, 45,965.20 and 11,923.02

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Solution

The fourth proportional to 30,641.58, 45,965.20 and 11,923.02 is: 17,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.58 : 45,965.20 = 11,923.02 : x
  2. Step 2: Convert to fraction form
    30,641.58/45,965.20 = 11,923.02/x
  3. Step 3: Cross multiply
    30,641.58x = 45,965.20 × 11,923.02
  4. Step 4: Simplify right side
    30,641.58x = 548,043,998.90
  5. Step 5: Solve for x
    x = 548,043,998.90/30,641.58
  6. Step 6: Final answer
    x = 17,885.63

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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.