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Finding the Fourth Proportional to 78,983, 118,493.22 and 23,580.44

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Solution

The fourth proportional to 78,983, 118,493.22 and 23,580.44 is: 35,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,983 : 118,493.22 = 23,580.44 : x
  2. Step 2: Convert to fraction form
    78,983/118,493.22 = 23,580.44/x
  3. Step 3: Cross multiply
    78,983x = 118,493.22 × 23,580.44
  4. Step 4: Simplify right side
    78,983x = 2,794,122,264.62
  5. Step 5: Solve for x
    x = 2,794,122,264.62/78,983
  6. Step 6: Final answer
    x = 35,376.25

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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.