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Finding the Fourth Proportional to 92,541.30, 127,706.83 and 50,099.82

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Solution

The fourth proportional to 92,541.30, 127,706.83 and 50,099.82 is: 69,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,541.30 : 127,706.83 = 50,099.82 : x
  2. Step 2: Convert to fraction form
    92,541.30/127,706.83 = 50,099.82/x
  3. Step 3: Cross multiply
    92,541.30x = 127,706.83 × 50,099.82
  4. Step 4: Simplify right side
    92,541.30x = 6,398,089,195.77
  5. Step 5: Solve for x
    x = 6,398,089,195.77/92,541.30
  6. Step 6: Final answer
    x = 69,137.66

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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.