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Finding the Fourth Proportional to 59,682.64, 82,362 and 32,825.56

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Solution

The fourth proportional to 59,682.64, 82,362 and 32,825.56 is: 45,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,682.64 : 82,362 = 32,825.56 : x
  2. Step 2: Convert to fraction form
    59,682.64/82,362 = 32,825.56/x
  3. Step 3: Cross multiply
    59,682.64x = 82,362 × 32,825.56
  4. Step 4: Simplify right side
    59,682.64x = 2,703,578,772.72
  5. Step 5: Solve for x
    x = 2,703,578,772.72/59,682.64
  6. Step 6: Final answer
    x = 45,299.25

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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.