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Finding the Fourth Proportional to 32,256, 48,378.06 and 8,879.40

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Solution

The fourth proportional to 32,256, 48,378.06 and 8,879.40 is: 13,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,256 : 48,378.06 = 8,879.40 : x
  2. Step 2: Convert to fraction form
    32,256/48,378.06 = 8,879.40/x
  3. Step 3: Cross multiply
    32,256x = 48,378.06 × 8,879.40
  4. Step 4: Simplify right side
    32,256x = 429,568,145.96
  5. Step 5: Solve for x
    x = 429,568,145.96/32,256
  6. Step 6: Final answer
    x = 13,317.46

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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.