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Finding the Fourth Proportional to 45,814.86, 68,733.05 and 14,223.31

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Solution

The fourth proportional to 45,814.86, 68,733.05 and 14,223.31 is: 21,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,814.86 : 68,733.05 = 14,223.31 : x
  2. Step 2: Convert to fraction form
    45,814.86/68,733.05 = 14,223.31/x
  3. Step 3: Cross multiply
    45,814.86x = 68,733.05 × 14,223.31
  4. Step 4: Simplify right side
    45,814.86x = 977,611,234.45
  5. Step 5: Solve for x
    x = 977,611,234.45/45,814.86
  6. Step 6: Final answer
    x = 21,338.30

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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.