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Finding the Fourth Proportional to 75,409.17, 113,035.99 and 33,885.33

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Solution

The fourth proportional to 75,409.17, 113,035.99 and 33,885.33 is: 50,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,409.17 : 113,035.99 = 33,885.33 : x
  2. Step 2: Convert to fraction form
    75,409.17/113,035.99 = 33,885.33/x
  3. Step 3: Cross multiply
    75,409.17x = 113,035.99 × 33,885.33
  4. Step 4: Simplify right side
    75,409.17x = 3,830,261,823.03
  5. Step 5: Solve for x
    x = 3,830,261,823.03/75,409.17
  6. Step 6: Final answer
    x = 50,793.05

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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.