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Finding the Fourth Proportional to 92,538, 127,702.85 and 50,096.53

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Solution

The fourth proportional to 92,538, 127,702.85 and 50,096.53 is: 69,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,538 : 127,702.85 = 50,096.53 : x
  2. Step 2: Convert to fraction form
    92,538/127,702.85 = 50,096.53/x
  3. Step 3: Cross multiply
    92,538x = 127,702.85 × 50,096.53
  4. Step 4: Simplify right side
    92,538x = 6,397,469,656.11
  5. Step 5: Solve for x
    x = 6,397,469,656.11/92,538
  6. Step 6: Final answer
    x = 69,133.43

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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.