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Finding the Fourth Proportional to 92,536.92, 127,701.81 and 50,096.34

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Solution

The fourth proportional to 92,536.92, 127,701.81 and 50,096.34 is: 69,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,536.92 : 127,701.81 = 50,096.34 : x
  2. Step 2: Convert to fraction form
    92,536.92/127,701.81 = 50,096.34/x
  3. Step 3: Cross multiply
    92,536.92x = 127,701.81 × 50,096.34
  4. Step 4: Simplify right side
    92,536.92x = 6,397,393,292.38
  5. Step 5: Solve for x
    x = 6,397,393,292.38/92,536.92
  6. Step 6: Final answer
    x = 69,133.41

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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.