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Finding the Fourth Proportional to 85,188.84, 127,766.79 and 32,585.82

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Solution

The fourth proportional to 85,188.84, 127,766.79 and 32,585.82 is: 48,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,188.84 : 127,766.79 = 32,585.82 : x
  2. Step 2: Convert to fraction form
    85,188.84/127,766.79 = 32,585.82/x
  3. Step 3: Cross multiply
    85,188.84x = 127,766.79 × 32,585.82
  4. Step 4: Simplify right side
    85,188.84x = 4,163,385,620.92
  5. Step 5: Solve for x
    x = 4,163,385,620.92/85,188.84
  6. Step 6: Final answer
    x = 48,872.43

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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.