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Finding the Fourth Proportional to 51,346.56, 77,016 and 30,552

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Solution

The fourth proportional to 51,346.56, 77,016 and 30,552 is: 45,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,346.56 : 77,016 = 30,552 : x
  2. Step 2: Convert to fraction form
    51,346.56/77,016 = 30,552/x
  3. Step 3: Cross multiply
    51,346.56x = 77,016 × 30,552
  4. Step 4: Simplify right side
    51,346.56x = 2,352,992,832
  5. Step 5: Solve for x
    x = 2,352,992,832/51,346.56
  6. Step 6: Final answer
    x = 45,825.72

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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.