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Finding the Fourth Proportional to 84,735.54, 127,027.80 and 32,181.94

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Solution

The fourth proportional to 84,735.54, 127,027.80 and 32,181.94 is: 48,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,735.54 : 127,027.80 = 32,181.94 : x
  2. Step 2: Convert to fraction form
    84,735.54/127,027.80 = 32,181.94/x
  3. Step 3: Cross multiply
    84,735.54x = 127,027.80 × 32,181.94
  4. Step 4: Simplify right side
    84,735.54x = 4,088,001,037.93
  5. Step 5: Solve for x
    x = 4,088,001,037.93/84,735.54
  6. Step 6: Final answer
    x = 48,244.23

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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.