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Finding the Fourth Proportional to 75,550.68, 104,256.72 and 41,557

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Solution

The fourth proportional to 75,550.68, 104,256.72 and 41,557 is: 57,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,550.68 : 104,256.72 = 41,557 : x
  2. Step 2: Convert to fraction form
    75,550.68/104,256.72 = 41,557/x
  3. Step 3: Cross multiply
    75,550.68x = 104,256.72 × 41,557
  4. Step 4: Simplify right side
    75,550.68x = 4,332,596,513.04
  5. Step 5: Solve for x
    x = 4,332,596,513.04/75,550.68
  6. Step 6: Final answer
    x = 57,346.89

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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.