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Finding the Fourth Proportional to 45,883.58, 68,778.88 and 31,094

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Solution

The fourth proportional to 45,883.58, 68,778.88 and 31,094 is: 46,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,883.58 : 68,778.88 = 31,094 : x
  2. Step 2: Convert to fraction form
    45,883.58/68,778.88 = 31,094/x
  3. Step 3: Cross multiply
    45,883.58x = 68,778.88 × 31,094
  4. Step 4: Simplify right side
    45,883.58x = 2,138,610,494.72
  5. Step 5: Solve for x
    x = 2,138,610,494.72/45,883.58
  6. Step 6: Final answer
    x = 46,609.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.