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Finding the Fourth Proportional to 85,273.06, 127,928.04 and 32,682.58

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Solution

The fourth proportional to 85,273.06, 127,928.04 and 32,682.58 is: 49,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,273.06 : 127,928.04 = 32,682.58 : x
  2. Step 2: Convert to fraction form
    85,273.06/127,928.04 = 32,682.58/x
  3. Step 3: Cross multiply
    85,273.06x = 127,928.04 × 32,682.58
  4. Step 4: Simplify right side
    85,273.06x = 4,181,018,401.54
  5. Step 5: Solve for x
    x = 4,181,018,401.54/85,273.06
  6. Step 6: Final answer
    x = 49,030.94

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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.