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Finding the Fourth Proportional to 85,584.67, 128,376.90 and 32,957.25

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Solution

The fourth proportional to 85,584.67, 128,376.90 and 32,957.25 is: 49,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,584.67 : 128,376.90 = 32,957.25 : x
  2. Step 2: Convert to fraction form
    85,584.67/128,376.90 = 32,957.25/x
  3. Step 3: Cross multiply
    85,584.67x = 128,376.90 × 32,957.25
  4. Step 4: Simplify right side
    85,584.67x = 4,230,949,106.11
  5. Step 5: Solve for x
    x = 4,230,949,106.11/85,584.67
  6. Step 6: Final answer
    x = 49,435.83

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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.