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Finding the Fourth Proportional to 92,116.16, 127,120.07 and 51,829.97

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Solution

The fourth proportional to 92,116.16, 127,120.07 and 51,829.97 is: 71,525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,116.16 : 127,120.07 = 51,829.97 : x
  2. Step 2: Convert to fraction form
    92,116.16/127,120.07 = 51,829.97/x
  3. Step 3: Cross multiply
    92,116.16x = 127,120.07 × 51,829.97
  4. Step 4: Simplify right side
    92,116.16x = 6,588,628,519.75
  5. Step 5: Solve for x
    x = 6,588,628,519.75/92,116.16
  6. Step 6: Final answer
    x = 71,525.22

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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.