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Finding the Fourth Proportional to 92,095.22, 127,091.20 and 51,809

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Solution

The fourth proportional to 92,095.22, 127,091.20 and 51,809 is: 71,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,095.22 : 127,091.20 = 51,809 : x
  2. Step 2: Convert to fraction form
    92,095.22/127,091.20 = 51,809/x
  3. Step 3: Cross multiply
    92,095.22x = 127,091.20 × 51,809
  4. Step 4: Simplify right side
    92,095.22x = 6,584,467,980.80
  5. Step 5: Solve for x
    x = 6,584,467,980.80/92,095.22
  6. Step 6: Final answer
    x = 71,496.31

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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.