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Finding the Fourth Proportional to 92,012.67, 126,978.75 and 51,724.08

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Solution

The fourth proportional to 92,012.67, 126,978.75 and 51,724.08 is: 71,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,012.67 : 126,978.75 = 51,724.08 : x
  2. Step 2: Convert to fraction form
    92,012.67/126,978.75 = 51,724.08/x
  3. Step 3: Cross multiply
    92,012.67x = 126,978.75 × 51,724.08
  4. Step 4: Simplify right side
    92,012.67x = 6,567,859,023.30
  5. Step 5: Solve for x
    x = 6,567,859,023.30/92,012.67
  6. Step 6: Final answer
    x = 71,379.94

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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.