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Finding the Fourth Proportional to 34,134.84, 51,208.13 and 10,441.82

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Solution

The fourth proportional to 34,134.84, 51,208.13 and 10,441.82 is: 15,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134.84 : 51,208.13 = 10,441.82 : x
  2. Step 2: Convert to fraction form
    34,134.84/51,208.13 = 10,441.82/x
  3. Step 3: Cross multiply
    34,134.84x = 51,208.13 × 10,441.82
  4. Step 4: Simplify right side
    34,134.84x = 534,706,076.00
  5. Step 5: Solve for x
    x = 534,706,076.00/34,134.84
  6. Step 6: Final answer
    x = 15,664.53

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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.