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Finding the Fourth Proportional to 75,649.74, 104,380.82 and 43,816.74

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Solution

The fourth proportional to 75,649.74, 104,380.82 and 43,816.74 is: 60,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649.74 : 104,380.82 = 43,816.74 : x
  2. Step 2: Convert to fraction form
    75,649.74/104,380.82 = 43,816.74/x
  3. Step 3: Cross multiply
    75,649.74x = 104,380.82 × 43,816.74
  4. Step 4: Simplify right side
    75,649.74x = 4,573,627,250.93
  5. Step 5: Solve for x
    x = 4,573,627,250.93/75,649.74
  6. Step 6: Final answer
    x = 60,457.94

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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.