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Finding the Fourth Proportional to 46,380, 63,976.08 and 27,504.48

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Solution

The fourth proportional to 46,380, 63,976.08 and 27,504.48 is: 37,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,380 : 63,976.08 = 27,504.48 : x
  2. Step 2: Convert to fraction form
    46,380/63,976.08 = 27,504.48/x
  3. Step 3: Cross multiply
    46,380x = 63,976.08 × 27,504.48
  4. Step 4: Simplify right side
    46,380x = 1,759,628,812.84
  5. Step 5: Solve for x
    x = 1,759,628,812.84/46,380
  6. Step 6: Final answer
    x = 37,939.39

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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.