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Finding the Fourth Proportional to 85,102.78, 127,617.22 and 28,927.78

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Solution

The fourth proportional to 85,102.78, 127,617.22 and 28,927.78 is: 43,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,102.78 : 127,617.22 = 28,927.78 : x
  2. Step 2: Convert to fraction form
    85,102.78/127,617.22 = 28,927.78/x
  3. Step 3: Cross multiply
    85,102.78x = 127,617.22 × 28,927.78
  4. Step 4: Simplify right side
    85,102.78x = 3,691,683,299.34
  5. Step 5: Solve for x
    x = 3,691,683,299.34/85,102.78
  6. Step 6: Final answer
    x = 43,379.12

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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.