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Finding the Fourth Proportional to 46,734, 64,489.91 and 25,513.26

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Solution

The fourth proportional to 46,734, 64,489.91 and 25,513.26 is: 35,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,734 : 64,489.91 = 25,513.26 : x
  2. Step 2: Convert to fraction form
    46,734/64,489.91 = 25,513.26/x
  3. Step 3: Cross multiply
    46,734x = 64,489.91 × 25,513.26
  4. Step 4: Simplify right side
    46,734x = 1,645,347,713.64
  5. Step 5: Solve for x
    x = 1,645,347,713.64/46,734
  6. Step 6: Final answer
    x = 35,206.65

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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.