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Finding the Fourth Proportional to 75,143.52, 103,698.02 and 41,609.52

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Solution

The fourth proportional to 75,143.52, 103,698.02 and 41,609.52 is: 57,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,143.52 : 103,698.02 = 41,609.52 : x
  2. Step 2: Convert to fraction form
    75,143.52/103,698.02 = 41,609.52/x
  3. Step 3: Cross multiply
    75,143.52x = 103,698.02 × 41,609.52
  4. Step 4: Simplify right side
    75,143.52x = 4,314,824,837.15
  5. Step 5: Solve for x
    x = 4,314,824,837.15/75,143.52
  6. Step 6: Final answer
    x = 57,421.12

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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.