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Finding the Fourth Proportional to 46,963, 64,809 and 25,743.04

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Solution

The fourth proportional to 46,963, 64,809 and 25,743.04 is: 35,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,963 : 64,809 = 25,743.04 : x
  2. Step 2: Convert to fraction form
    46,963/64,809 = 25,743.04/x
  3. Step 3: Cross multiply
    46,963x = 64,809 × 25,743.04
  4. Step 4: Simplify right side
    46,963x = 1,668,380,679.36
  5. Step 5: Solve for x
    x = 1,668,380,679.36/46,963
  6. Step 6: Final answer
    x = 35,525.43

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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.