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Finding the Fourth Proportional to 59,521.44, 82,142.16 and 35,652

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Solution

The fourth proportional to 59,521.44, 82,142.16 and 35,652 is: 49,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,521.44 : 82,142.16 = 35,652 : x
  2. Step 2: Convert to fraction form
    59,521.44/82,142.16 = 35,652/x
  3. Step 3: Cross multiply
    59,521.44x = 82,142.16 × 35,652
  4. Step 4: Simplify right side
    59,521.44x = 2,928,532,288.32
  5. Step 5: Solve for x
    x = 2,928,532,288.32/59,521.44
  6. Step 6: Final answer
    x = 49,201.30

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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.