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Finding the Fourth Proportional to 47,892.57, 71,765 and 30,325.50

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Solution

The fourth proportional to 47,892.57, 71,765 and 30,325.50 is: 45,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,892.57 : 71,765 = 30,325.50 : x
  2. Step 2: Convert to fraction form
    47,892.57/71,765 = 30,325.50/x
  3. Step 3: Cross multiply
    47,892.57x = 71,765 × 30,325.50
  4. Step 4: Simplify right side
    47,892.57x = 2,176,309,507.50
  5. Step 5: Solve for x
    x = 2,176,309,507.50/47,892.57
  6. Step 6: Final answer
    x = 45,441.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.