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Finding the Fourth Proportional to 45,543.75, 68,315.63 and 14,379

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Solution

The fourth proportional to 45,543.75, 68,315.63 and 14,379 is: 21,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,543.75 : 68,315.63 = 14,379 : x
  2. Step 2: Convert to fraction form
    45,543.75/68,315.63 = 14,379/x
  3. Step 3: Cross multiply
    45,543.75x = 68,315.63 × 14,379
  4. Step 4: Simplify right side
    45,543.75x = 982,310,371.88
  5. Step 5: Solve for x
    x = 982,310,371.88/45,543.75
  6. Step 6: Final answer
    x = 21,568.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.