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Finding the Fourth Proportional to 38,735.25, 53,463.76 and 23,640.40

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Solution

The fourth proportional to 38,735.25, 53,463.76 and 23,640.40 is: 32,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,735.25 : 53,463.76 = 23,640.40 : x
  2. Step 2: Convert to fraction form
    38,735.25/53,463.76 = 23,640.40/x
  3. Step 3: Cross multiply
    38,735.25x = 53,463.76 × 23,640.40
  4. Step 4: Simplify right side
    38,735.25x = 1,263,904,479.14
  5. Step 5: Solve for x
    x = 1,263,904,479.14/38,735.25
  6. Step 6: Final answer
    x = 32,629.31

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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.