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Finding the Fourth Proportional to 52,165.49, 78,202.06 and 22,567.17

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Solution

The fourth proportional to 52,165.49, 78,202.06 and 22,567.17 is: 33,830.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,165.49 : 78,202.06 = 22,567.17 : x
  2. Step 2: Convert to fraction form
    52,165.49/78,202.06 = 22,567.17/x
  3. Step 3: Cross multiply
    52,165.49x = 78,202.06 × 22,567.17
  4. Step 4: Simplify right side
    52,165.49x = 1,764,799,419.21
  5. Step 5: Solve for x
    x = 1,764,799,419.21/52,165.49
  6. Step 6: Final answer
    x = 33,830.79

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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.