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Finding the Fourth Proportional to 85,138.44, 127,707.84 and 32,553.24

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Solution

The fourth proportional to 85,138.44, 127,707.84 and 32,553.24 is: 48,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,138.44 : 127,707.84 = 32,553.24 : x
  2. Step 2: Convert to fraction form
    85,138.44/127,707.84 = 32,553.24/x
  3. Step 3: Cross multiply
    85,138.44x = 127,707.84 × 32,553.24
  4. Step 4: Simplify right side
    85,138.44x = 4,157,303,965.40
  5. Step 5: Solve for x
    x = 4,157,303,965.40/85,138.44
  6. Step 6: Final answer
    x = 48,829.93

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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.