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Finding the Fourth Proportional to 51,035.66, 70,406.48 and 29,805.56

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Solution

The fourth proportional to 51,035.66, 70,406.48 and 29,805.56 is: 41,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,035.66 : 70,406.48 = 29,805.56 : x
  2. Step 2: Convert to fraction form
    51,035.66/70,406.48 = 29,805.56/x
  3. Step 3: Cross multiply
    51,035.66x = 70,406.48 × 29,805.56
  4. Step 4: Simplify right side
    51,035.66x = 2,098,504,313.50
  5. Step 5: Solve for x
    x = 2,098,504,313.50/51,035.66
  6. Step 6: Final answer
    x = 41,118.39

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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.