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Finding the Fourth Proportional to 75,346.56, 103,978.08 and 43,514.64

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Solution

The fourth proportional to 75,346.56, 103,978.08 and 43,514.64 is: 60,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,346.56 : 103,978.08 = 43,514.64 : x
  2. Step 2: Convert to fraction form
    75,346.56/103,978.08 = 43,514.64/x
  3. Step 3: Cross multiply
    75,346.56x = 103,978.08 × 43,514.64
  4. Step 4: Simplify right side
    75,346.56x = 4,524,568,719.09
  5. Step 5: Solve for x
    x = 4,524,568,719.09/75,346.56
  6. Step 6: Final answer
    x = 60,050.10

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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.