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Finding the Fourth Proportional to 32,500.82, 48,751.32 and 11,724.32

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Solution

The fourth proportional to 32,500.82, 48,751.32 and 11,724.32 is: 17,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500.82 : 48,751.32 = 11,724.32 : x
  2. Step 2: Convert to fraction form
    32,500.82/48,751.32 = 11,724.32/x
  3. Step 3: Cross multiply
    32,500.82x = 48,751.32 × 11,724.32
  4. Step 4: Simplify right side
    32,500.82x = 571,576,076.10
  5. Step 5: Solve for x
    x = 571,576,076.10/32,500.82
  6. Step 6: Final answer
    x = 17,586.51

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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.