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Finding the Fourth Proportional to 30,310.32, 45,647.94 and 26,844

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Solution

The fourth proportional to 30,310.32, 45,647.94 and 26,844 is: 40,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,310.32 : 45,647.94 = 26,844 : x
  2. Step 2: Convert to fraction form
    30,310.32/45,647.94 = 26,844/x
  3. Step 3: Cross multiply
    30,310.32x = 45,647.94 × 26,844
  4. Step 4: Simplify right side
    30,310.32x = 1,225,373,301.36
  5. Step 5: Solve for x
    x = 1,225,373,301.36/30,310.32
  6. Step 6: Final answer
    x = 40,427.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.