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Finding the Fourth Proportional to 51,769.48, 71,440.94 and 30,550.68

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Solution

The fourth proportional to 51,769.48, 71,440.94 and 30,550.68 is: 42,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,769.48 : 71,440.94 = 30,550.68 : x
  2. Step 2: Convert to fraction form
    51,769.48/71,440.94 = 30,550.68/x
  3. Step 3: Cross multiply
    51,769.48x = 71,440.94 × 30,550.68
  4. Step 4: Simplify right side
    51,769.48x = 2,182,569,296.84
  5. Step 5: Solve for x
    x = 2,182,569,296.84/51,769.48
  6. Step 6: Final answer
    x = 42,159.38

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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.