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Finding the Fourth Proportional to 52,166.49, 78,203.56 and 22,568.17

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Solution

The fourth proportional to 52,166.49, 78,203.56 and 22,568.17 is: 33,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,166.49 : 78,203.56 = 22,568.17 : x
  2. Step 2: Convert to fraction form
    52,166.49/78,203.56 = 22,568.17/x
  3. Step 3: Cross multiply
    52,166.49x = 78,203.56 × 22,568.17
  4. Step 4: Simplify right side
    52,166.49x = 1,764,911,236.69
  5. Step 5: Solve for x
    x = 1,764,911,236.69/52,166.49
  6. Step 6: Final answer
    x = 33,832.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.