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Finding the Fourth Proportional to 78,867, 118,301.31 and 23,463

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Solution

The fourth proportional to 78,867, 118,301.31 and 23,463 is: 35,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,867 : 118,301.31 = 23,463 : x
  2. Step 2: Convert to fraction form
    78,867/118,301.31 = 23,463/x
  3. Step 3: Cross multiply
    78,867x = 118,301.31 × 23,463
  4. Step 4: Simplify right side
    78,867x = 2,775,703,636.53
  5. Step 5: Solve for x
    x = 2,775,703,636.53/78,867
  6. Step 6: Final answer
    x = 35,194.74

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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.