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Finding the Fourth Proportional to 125,749.90, 188,624.91 and 32,255.68

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Solution

The fourth proportional to 125,749.90, 188,624.91 and 32,255.68 is: 48,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,749.90 : 188,624.91 = 32,255.68 : x
  2. Step 2: Convert to fraction form
    125,749.90/188,624.91 = 32,255.68/x
  3. Step 3: Cross multiply
    125,749.90x = 188,624.91 × 32,255.68
  4. Step 4: Simplify right side
    125,749.90x = 6,084,224,736.99
  5. Step 5: Solve for x
    x = 6,084,224,736.99/125,749.90
  6. Step 6: Final answer
    x = 48,383.54

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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.