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Finding the Fourth Proportional to 75,996, 104,871.36 and 44,164.64

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Solution

The fourth proportional to 75,996, 104,871.36 and 44,164.64 is: 60,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,996 : 104,871.36 = 44,164.64 : x
  2. Step 2: Convert to fraction form
    75,996/104,871.36 = 44,164.64/x
  3. Step 3: Cross multiply
    75,996x = 104,871.36 × 44,164.64
  4. Step 4: Simplify right side
    75,996x = 4,631,605,860.71
  5. Step 5: Solve for x
    x = 4,631,605,860.71/75,996
  6. Step 6: Final answer
    x = 60,945.39

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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.