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Finding the Fourth Proportional to 51,034.38, 70,427.40 and 29,813.80

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Solution

The fourth proportional to 51,034.38, 70,427.40 and 29,813.80 is: 41,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,034.38 : 70,427.40 = 29,813.80 : x
  2. Step 2: Convert to fraction form
    51,034.38/70,427.40 = 29,813.80/x
  3. Step 3: Cross multiply
    51,034.38x = 70,427.40 × 29,813.80
  4. Step 4: Simplify right side
    51,034.38x = 2,099,708,418.12
  5. Step 5: Solve for x
    x = 2,099,708,418.12/51,034.38
  6. Step 6: Final answer
    x = 41,143.02

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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.