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Finding the Fourth Proportional to 75,201.72, 103,776.71 and 41,209.46

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Solution

The fourth proportional to 75,201.72, 103,776.71 and 41,209.46 is: 56,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,201.72 : 103,776.71 = 41,209.46 : x
  2. Step 2: Convert to fraction form
    75,201.72/103,776.71 = 41,209.46/x
  3. Step 3: Cross multiply
    75,201.72x = 103,776.71 × 41,209.46
  4. Step 4: Simplify right side
    75,201.72x = 4,276,582,659.46
  5. Step 5: Solve for x
    x = 4,276,582,659.46/75,201.72
  6. Step 6: Final answer
    x = 56,868.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.