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Finding the Fourth Proportional to 51,775.02, 71,380.71 and 33,839.19

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Solution

The fourth proportional to 51,775.02, 71,380.71 and 33,839.19 is: 46,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,775.02 : 71,380.71 = 33,839.19 : x
  2. Step 2: Convert to fraction form
    51,775.02/71,380.71 = 33,839.19/x
  3. Step 3: Cross multiply
    51,775.02x = 71,380.71 × 33,839.19
  4. Step 4: Simplify right side
    51,775.02x = 2,415,465,408.02
  5. Step 5: Solve for x
    x = 2,415,465,408.02/51,775.02
  6. Step 6: Final answer
    x = 46,653.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.