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Finding the Fourth Proportional to 52,803.38, 72,850.72 and 30,126.08

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Solution

The fourth proportional to 52,803.38, 72,850.72 and 30,126.08 is: 41,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,803.38 : 72,850.72 = 30,126.08 : x
  2. Step 2: Convert to fraction form
    52,803.38/72,850.72 = 30,126.08/x
  3. Step 3: Cross multiply
    52,803.38x = 72,850.72 × 30,126.08
  4. Step 4: Simplify right side
    52,803.38x = 2,194,706,179.21
  5. Step 5: Solve for x
    x = 2,194,706,179.21/52,803.38
  6. Step 6: Final answer
    x = 41,563.75

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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.