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Finding the Fourth Proportional to 76,324.12, 105,379.42 and 47,687.38

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Solution

The fourth proportional to 76,324.12, 105,379.42 and 47,687.38 is: 65,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,324.12 : 105,379.42 = 47,687.38 : x
  2. Step 2: Convert to fraction form
    76,324.12/105,379.42 = 47,687.38/x
  3. Step 3: Cross multiply
    76,324.12x = 105,379.42 × 47,687.38
  4. Step 4: Simplify right side
    76,324.12x = 5,025,268,207.28
  5. Step 5: Solve for x
    x = 5,025,268,207.28/76,324.12
  6. Step 6: Final answer
    x = 65,841.15

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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.