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Finding the Fourth Proportional to 45,797.31, 69,049.14 and 45,513

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Solution

The fourth proportional to 45,797.31, 69,049.14 and 45,513 is: 68,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,797.31 : 69,049.14 = 45,513 : x
  2. Step 2: Convert to fraction form
    45,797.31/69,049.14 = 45,513/x
  3. Step 3: Cross multiply
    45,797.31x = 69,049.14 × 45,513
  4. Step 4: Simplify right side
    45,797.31x = 3,142,633,508.82
  5. Step 5: Solve for x
    x = 3,142,633,508.82/45,797.31
  6. Step 6: Final answer
    x = 68,620.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.