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Finding the Fourth Proportional to 69,541.66, 95,954.66 and 40,866

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Solution

The fourth proportional to 69,541.66, 95,954.66 and 40,866 is: 56,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,541.66 : 95,954.66 = 40,866 : x
  2. Step 2: Convert to fraction form
    69,541.66/95,954.66 = 40,866/x
  3. Step 3: Cross multiply
    69,541.66x = 95,954.66 × 40,866
  4. Step 4: Simplify right side
    69,541.66x = 3,921,283,135.56
  5. Step 5: Solve for x
    x = 3,921,283,135.56/69,541.66
  6. Step 6: Final answer
    x = 56,387.54

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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.