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Finding the Fourth Proportional to 75,609.98, 104,342.15 and 41,621.89

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Solution

The fourth proportional to 75,609.98, 104,342.15 and 41,621.89 is: 57,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,609.98 : 104,342.15 = 41,621.89 : x
  2. Step 2: Convert to fraction form
    75,609.98/104,342.15 = 41,621.89/x
  3. Step 3: Cross multiply
    75,609.98x = 104,342.15 × 41,621.89
  4. Step 4: Simplify right side
    75,609.98x = 4,342,917,332.86
  5. Step 5: Solve for x
    x = 4,342,917,332.86/75,609.98
  6. Step 6: Final answer
    x = 57,438.41

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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.