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Finding the Fourth Proportional to 92,107.86, 127,077.03 and 51,815.22

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Solution

The fourth proportional to 92,107.86, 127,077.03 and 51,815.22 is: 71,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,107.86 : 127,077.03 = 51,815.22 : x
  2. Step 2: Convert to fraction form
    92,107.86/127,077.03 = 51,815.22/x
  3. Step 3: Cross multiply
    92,107.86x = 127,077.03 × 51,815.22
  4. Step 4: Simplify right side
    92,107.86x = 6,584,524,266.40
  5. Step 5: Solve for x
    x = 6,584,524,266.40/92,107.86
  6. Step 6: Final answer
    x = 71,487.11

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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.