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Finding the Fourth Proportional to 85,667.32, 128,514.75 and 29,493.62

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Solution

The fourth proportional to 85,667.32, 128,514.75 and 29,493.62 is: 44,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,667.32 : 128,514.75 = 29,493.62 : x
  2. Step 2: Convert to fraction form
    85,667.32/128,514.75 = 29,493.62/x
  3. Step 3: Cross multiply
    85,667.32x = 128,514.75 × 29,493.62
  4. Step 4: Simplify right side
    85,667.32x = 3,790,364,410.85
  5. Step 5: Solve for x
    x = 3,790,364,410.85/85,667.32
  6. Step 6: Final answer
    x = 44,245.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.