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Finding the Fourth Proportional to 46,735.82, 64,493 and 25,511

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Solution

The fourth proportional to 46,735.82, 64,493 and 25,511 is: 35,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,735.82 : 64,493 = 25,511 : x
  2. Step 2: Convert to fraction form
    46,735.82/64,493 = 25,511/x
  3. Step 3: Cross multiply
    46,735.82x = 64,493 × 25,511
  4. Step 4: Simplify right side
    46,735.82x = 1,645,280,923
  5. Step 5: Solve for x
    x = 1,645,280,923/46,735.82
  6. Step 6: Final answer
    x = 35,203.85

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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.