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Finding the Fourth Proportional to 51,093.22, 70,460.12 and 33,834.82

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Solution

The fourth proportional to 51,093.22, 70,460.12 and 33,834.82 is: 46,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,093.22 : 70,460.12 = 33,834.82 : x
  2. Step 2: Convert to fraction form
    51,093.22/70,460.12 = 33,834.82/x
  3. Step 3: Cross multiply
    51,093.22x = 70,460.12 × 33,834.82
  4. Step 4: Simplify right side
    51,093.22x = 2,384,005,477.38
  5. Step 5: Solve for x
    x = 2,384,005,477.38/51,093.22
  6. Step 6: Final answer
    x = 46,659.92

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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.