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Finding the Fourth Proportional to 78,996, 118,513.44 and 23,592

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Solution

The fourth proportional to 78,996, 118,513.44 and 23,592 is: 35,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,996 : 118,513.44 = 23,592 : x
  2. Step 2: Convert to fraction form
    78,996/118,513.44 = 23,592/x
  3. Step 3: Cross multiply
    78,996x = 118,513.44 × 23,592
  4. Step 4: Simplify right side
    78,996x = 2,795,969,076.48
  5. Step 5: Solve for x
    x = 2,795,969,076.48/78,996
  6. Step 6: Final answer
    x = 35,393.81

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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.