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Finding the Fourth Proportional to 34,231.84, 51,334.80 and 13,444

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Solution

The fourth proportional to 34,231.84, 51,334.80 and 13,444 is: 20,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.84 : 51,334.80 = 13,444 : x
  2. Step 2: Convert to fraction form
    34,231.84/51,334.80 = 13,444/x
  3. Step 3: Cross multiply
    34,231.84x = 51,334.80 × 13,444
  4. Step 4: Simplify right side
    34,231.84x = 690,145,051.20
  5. Step 5: Solve for x
    x = 690,145,051.20/34,231.84
  6. Step 6: Final answer
    x = 20,160.91

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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.