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Finding the Fourth Proportional to 85,154, 127,733.16 and 29,750

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Solution

The fourth proportional to 85,154, 127,733.16 and 29,750 is: 44,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,154 : 127,733.16 = 29,750 : x
  2. Step 2: Convert to fraction form
    85,154/127,733.16 = 29,750/x
  3. Step 3: Cross multiply
    85,154x = 127,733.16 × 29,750
  4. Step 4: Simplify right side
    85,154x = 3,800,061,510
  5. Step 5: Solve for x
    x = 3,800,061,510/85,154
  6. Step 6: Final answer
    x = 44,625.75

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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.