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Finding the Fourth Proportional to 45,805.68, 68,711.22 and 14,638.50

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Solution

The fourth proportional to 45,805.68, 68,711.22 and 14,638.50 is: 21,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,805.68 : 68,711.22 = 14,638.50 : x
  2. Step 2: Convert to fraction form
    45,805.68/68,711.22 = 14,638.50/x
  3. Step 3: Cross multiply
    45,805.68x = 68,711.22 × 14,638.50
  4. Step 4: Simplify right side
    45,805.68x = 1,005,829,193.97
  5. Step 5: Solve for x
    x = 1,005,829,193.97/45,805.68
  6. Step 6: Final answer
    x = 21,958.61

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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.