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Finding the Fourth Proportional to 84,706.14, 127,063.53 and 32,119.98

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Solution

The fourth proportional to 84,706.14, 127,063.53 and 32,119.98 is: 48,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,706.14 : 127,063.53 = 32,119.98 : x
  2. Step 2: Convert to fraction form
    84,706.14/127,063.53 = 32,119.98/x
  3. Step 3: Cross multiply
    84,706.14x = 127,063.53 × 32,119.98
  4. Step 4: Simplify right side
    84,706.14x = 4,081,278,042.33
  5. Step 5: Solve for x
    x = 4,081,278,042.33/84,706.14
  6. Step 6: Final answer
    x = 48,181.61

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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.