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Finding the Fourth Proportional to 52,857.42, 72,943.26 and 28,983.60

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Solution

The fourth proportional to 52,857.42, 72,943.26 and 28,983.60 is: 39,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,857.42 : 72,943.26 = 28,983.60 : x
  2. Step 2: Convert to fraction form
    52,857.42/72,943.26 = 28,983.60/x
  3. Step 3: Cross multiply
    52,857.42x = 72,943.26 × 28,983.60
  4. Step 4: Simplify right side
    52,857.42x = 2,114,158,270.54
  5. Step 5: Solve for x
    x = 2,114,158,270.54/52,857.42
  6. Step 6: Final answer
    x = 39,997.38

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Why These Related Problems?

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