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Finding the Fourth Proportional to 52,164.96, 71,984.16 and 30,936.48

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Solution

The fourth proportional to 52,164.96, 71,984.16 and 30,936.48 is: 42,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164.96 : 71,984.16 = 30,936.48 : x
  2. Step 2: Convert to fraction form
    52,164.96/71,984.16 = 30,936.48/x
  3. Step 3: Cross multiply
    52,164.96x = 71,984.16 × 30,936.48
  4. Step 4: Simplify right side
    52,164.96x = 2,226,936,526.16
  5. Step 5: Solve for x
    x = 2,226,936,526.16/52,164.96
  6. Step 6: Final answer
    x = 42,690.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.