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Finding the Fourth Proportional to 75,199.44, 112,645.84 and 35,636.56

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Solution

The fourth proportional to 75,199.44, 112,645.84 and 35,636.56 is: 53,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,199.44 : 112,645.84 = 35,636.56 : x
  2. Step 2: Convert to fraction form
    75,199.44/112,645.84 = 35,636.56/x
  3. Step 3: Cross multiply
    75,199.44x = 112,645.84 × 35,636.56
  4. Step 4: Simplify right side
    75,199.44x = 4,014,310,235.91
  5. Step 5: Solve for x
    x = 4,014,310,235.91/75,199.44
  6. Step 6: Final answer
    x = 53,382.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.