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Finding the Fourth Proportional to 34,213.80, 51,320.70 and 14,514.60

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Solution

The fourth proportional to 34,213.80, 51,320.70 and 14,514.60 is: 21,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.80 : 51,320.70 = 14,514.60 : x
  2. Step 2: Convert to fraction form
    34,213.80/51,320.70 = 14,514.60/x
  3. Step 3: Cross multiply
    34,213.80x = 51,320.70 × 14,514.60
  4. Step 4: Simplify right side
    34,213.80x = 744,899,432.22
  5. Step 5: Solve for x
    x = 744,899,432.22/34,213.80
  6. Step 6: Final answer
    x = 21,771.90

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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.