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Finding the Fourth Proportional to 74,502.92, 102,814.54 and 40,511.78

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Solution

The fourth proportional to 74,502.92, 102,814.54 and 40,511.78 is: 55,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,502.92 : 102,814.54 = 40,511.78 : x
  2. Step 2: Convert to fraction form
    74,502.92/102,814.54 = 40,511.78/x
  3. Step 3: Cross multiply
    74,502.92x = 102,814.54 × 40,511.78
  4. Step 4: Simplify right side
    74,502.92x = 4,165,200,025.28
  5. Step 5: Solve for x
    x = 4,165,200,025.28/74,502.92
  6. Step 6: Final answer
    x = 55,906.53

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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.