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Finding the Fourth Proportional to 75,386.16, 113,079.24 and 33,804

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Solution

The fourth proportional to 75,386.16, 113,079.24 and 33,804 is: 50,706

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,386.16 : 113,079.24 = 33,804 : x
  2. Step 2: Convert to fraction form
    75,386.16/113,079.24 = 33,804/x
  3. Step 3: Cross multiply
    75,386.16x = 113,079.24 × 33,804
  4. Step 4: Simplify right side
    75,386.16x = 3,822,530,628.96
  5. Step 5: Solve for x
    x = 3,822,530,628.96/75,386.16
  6. Step 6: Final answer
    x = 50,706

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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.