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Finding the Fourth Proportional to 45,431.32, 68,153.46 and 14,269

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Solution

The fourth proportional to 45,431.32, 68,153.46 and 14,269 is: 21,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,431.32 : 68,153.46 = 14,269 : x
  2. Step 2: Convert to fraction form
    45,431.32/68,153.46 = 14,269/x
  3. Step 3: Cross multiply
    45,431.32x = 68,153.46 × 14,269
  4. Step 4: Simplify right side
    45,431.32x = 972,481,720.74
  5. Step 5: Solve for x
    x = 972,481,720.74/45,431.32
  6. Step 6: Final answer
    x = 21,405.54

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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.