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Finding the Fourth Proportional to 57,584.46, 86,181.60 and 35,411.88

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Solution

The fourth proportional to 57,584.46, 86,181.60 and 35,411.88 is: 52,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,584.46 : 86,181.60 = 35,411.88 : x
  2. Step 2: Convert to fraction form
    57,584.46/86,181.60 = 35,411.88/x
  3. Step 3: Cross multiply
    57,584.46x = 86,181.60 × 35,411.88
  4. Step 4: Simplify right side
    57,584.46x = 3,051,852,477.41
  5. Step 5: Solve for x
    x = 3,051,852,477.41/57,584.46
  6. Step 6: Final answer
    x = 52,997.85

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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.