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Finding the Fourth Proportional to 73,086.48, 100,878.84 and 41,274

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Solution

The fourth proportional to 73,086.48, 100,878.84 and 41,274 is: 56,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,086.48 : 100,878.84 = 41,274 : x
  2. Step 2: Convert to fraction form
    73,086.48/100,878.84 = 41,274/x
  3. Step 3: Cross multiply
    73,086.48x = 100,878.84 × 41,274
  4. Step 4: Simplify right side
    73,086.48x = 4,163,673,242.16
  5. Step 5: Solve for x
    x = 4,163,673,242.16/73,086.48
  6. Step 6: Final answer
    x = 56,969.13

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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.