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Finding the Fourth Proportional to 34,011.12, 51,024.10 and 14,278.44

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Solution

The fourth proportional to 34,011.12, 51,024.10 and 14,278.44 is: 21,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011.12 : 51,024.10 = 14,278.44 : x
  2. Step 2: Convert to fraction form
    34,011.12/51,024.10 = 14,278.44/x
  3. Step 3: Cross multiply
    34,011.12x = 51,024.10 × 14,278.44
  4. Step 4: Simplify right side
    34,011.12x = 728,544,550.40
  5. Step 5: Solve for x
    x = 728,544,550.40/34,011.12
  6. Step 6: Final answer
    x = 21,420.78

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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.