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Finding the Fourth Proportional to 45,573.18, 68,362.20 and 14,406

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Solution

The fourth proportional to 45,573.18, 68,362.20 and 14,406 is: 21,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,573.18 : 68,362.20 = 14,406 : x
  2. Step 2: Convert to fraction form
    45,573.18/68,362.20 = 14,406/x
  3. Step 3: Cross multiply
    45,573.18x = 68,362.20 × 14,406
  4. Step 4: Simplify right side
    45,573.18x = 984,825,853.20
  5. Step 5: Solve for x
    x = 984,825,853.20/45,573.18
  6. Step 6: Final answer
    x = 21,609.77

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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.