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Finding the Fourth Proportional to 59,675.82, 82,350.99 and 32,818.32

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Solution

The fourth proportional to 59,675.82, 82,350.99 and 32,818.32 is: 45,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,675.82 : 82,350.99 = 32,818.32 : x
  2. Step 2: Convert to fraction form
    59,675.82/82,350.99 = 32,818.32/x
  3. Step 3: Cross multiply
    59,675.82x = 82,350.99 × 32,818.32
  4. Step 4: Simplify right side
    59,675.82x = 2,702,621,142.14
  5. Step 5: Solve for x
    x = 2,702,621,142.14/59,675.82
  6. Step 6: Final answer
    x = 45,288.38

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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.