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Finding the Fourth Proportional to 46,647, 64,373.64 and 25,427.44

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Solution

The fourth proportional to 46,647, 64,373.64 and 25,427.44 is: 35,090.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,647 : 64,373.64 = 25,427.44 : x
  2. Step 2: Convert to fraction form
    46,647/64,373.64 = 25,427.44/x
  3. Step 3: Cross multiply
    46,647x = 64,373.64 × 25,427.44
  4. Step 4: Simplify right side
    46,647x = 1,636,856,868.68
  5. Step 5: Solve for x
    x = 1,636,856,868.68/46,647
  6. Step 6: Final answer
    x = 35,090.29

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