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Finding the Fourth Proportional to 38,914.48, 53,702.04 and 23,006.80

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Solution

The fourth proportional to 38,914.48, 53,702.04 and 23,006.80 is: 31,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,914.48 : 53,702.04 = 23,006.80 : x
  2. Step 2: Convert to fraction form
    38,914.48/53,702.04 = 23,006.80/x
  3. Step 3: Cross multiply
    38,914.48x = 53,702.04 × 23,006.80
  4. Step 4: Simplify right side
    38,914.48x = 1,235,512,093.87
  5. Step 5: Solve for x
    x = 1,235,512,093.87/38,914.48
  6. Step 6: Final answer
    x = 31,749.42

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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.