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Finding the Fourth Proportional to 92,208.36, 127,259.66 and 51,930

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Solution

The fourth proportional to 92,208.36, 127,259.66 and 51,930 is: 71,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,208.36 : 127,259.66 = 51,930 : x
  2. Step 2: Convert to fraction form
    92,208.36/127,259.66 = 51,930/x
  3. Step 3: Cross multiply
    92,208.36x = 127,259.66 × 51,930
  4. Step 4: Simplify right side
    92,208.36x = 6,608,594,143.80
  5. Step 5: Solve for x
    x = 6,608,594,143.80/92,208.36
  6. Step 6: Final answer
    x = 71,670.23

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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.