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Finding the Fourth Proportional to 34,449.34, 51,679.43 and 14,728

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Solution

The fourth proportional to 34,449.34, 51,679.43 and 14,728 is: 22,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,449.34 : 51,679.43 = 14,728 : x
  2. Step 2: Convert to fraction form
    34,449.34/51,679.43 = 14,728/x
  3. Step 3: Cross multiply
    34,449.34x = 51,679.43 × 14,728
  4. Step 4: Simplify right side
    34,449.34x = 761,134,571.40
  5. Step 5: Solve for x
    x = 761,134,571.40/34,449.34
  6. Step 6: Final answer
    x = 22,094.32

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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.