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Finding the Fourth Proportional to 75,143.13, 103,700.75 and 41,609.13

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Solution

The fourth proportional to 75,143.13, 103,700.75 and 41,609.13 is: 57,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,143.13 : 103,700.75 = 41,609.13 : x
  2. Step 2: Convert to fraction form
    75,143.13/103,700.75 = 41,609.13/x
  3. Step 3: Cross multiply
    75,143.13x = 103,700.75 × 41,609.13
  4. Step 4: Simplify right side
    75,143.13x = 4,314,897,987.85
  5. Step 5: Solve for x
    x = 4,314,897,987.85/75,143.13
  6. Step 6: Final answer
    x = 57,422.39

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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.