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Finding the Fourth Proportional to 46,649, 64,375.44 and 25,428.20

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Solution

The fourth proportional to 46,649, 64,375.44 and 25,428.20 is: 35,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,649 : 64,375.44 = 25,428.20 : x
  2. Step 2: Convert to fraction form
    46,649/64,375.44 = 25,428.20/x
  3. Step 3: Cross multiply
    46,649x = 64,375.44 × 25,428.20
  4. Step 4: Simplify right side
    46,649x = 1,636,951,563.41
  5. Step 5: Solve for x
    x = 1,636,951,563.41/46,649
  6. Step 6: Final answer
    x = 35,090.82

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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.