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Finding the Fourth Proportional to 34,050.84, 51,076.47 and 11,864.63

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Solution

The fourth proportional to 34,050.84, 51,076.47 and 11,864.63 is: 17,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,050.84 : 51,076.47 = 11,864.63 : x
  2. Step 2: Convert to fraction form
    34,050.84/51,076.47 = 11,864.63/x
  3. Step 3: Cross multiply
    34,050.84x = 51,076.47 × 11,864.63
  4. Step 4: Simplify right side
    34,050.84x = 606,003,418.26
  5. Step 5: Solve for x
    x = 606,003,418.26/34,050.84
  6. Step 6: Final answer
    x = 17,797.02

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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.