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Finding the Fourth Proportional to 57,732.66, 86,611.16 and 21,709.34

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Solution

The fourth proportional to 57,732.66, 86,611.16 and 21,709.34 is: 32,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,732.66 : 86,611.16 = 21,709.34 : x
  2. Step 2: Convert to fraction form
    57,732.66/86,611.16 = 21,709.34/x
  3. Step 3: Cross multiply
    57,732.66x = 86,611.16 × 21,709.34
  4. Step 4: Simplify right side
    57,732.66x = 1,880,271,228.22
  5. Step 5: Solve for x
    x = 1,880,271,228.22/57,732.66
  6. Step 6: Final answer
    x = 32,568.59

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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.