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Finding the Fourth Proportional to 78,996.25, 118,514.90 and 23,592.25

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Solution

The fourth proportional to 78,996.25, 118,514.90 and 23,592.25 is: 35,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,996.25 : 118,514.90 = 23,592.25 : x
  2. Step 2: Convert to fraction form
    78,996.25/118,514.90 = 23,592.25/x
  3. Step 3: Cross multiply
    78,996.25x = 118,514.90 × 23,592.25
  4. Step 4: Simplify right side
    78,996.25x = 2,796,033,149.53
  5. Step 5: Solve for x
    x = 2,796,033,149.53/78,996.25
  6. Step 6: Final answer
    x = 35,394.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.