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Finding the Fourth Proportional to 52,946.80, 73,057.92 and 30,282.14

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Solution

The fourth proportional to 52,946.80, 73,057.92 and 30,282.14 is: 41,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,946.80 : 73,057.92 = 30,282.14 : x
  2. Step 2: Convert to fraction form
    52,946.80/73,057.92 = 30,282.14/x
  3. Step 3: Cross multiply
    52,946.80x = 73,057.92 × 30,282.14
  4. Step 4: Simplify right side
    52,946.80x = 2,212,350,161.55
  5. Step 5: Solve for x
    x = 2,212,350,161.55/52,946.80
  6. Step 6: Final answer
    x = 41,784.40

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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.