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Finding the Fourth Proportional to 32,314.92, 48,472.68 and 27,919.32

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Solution

The fourth proportional to 32,314.92, 48,472.68 and 27,919.32 is: 41,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.92 : 48,472.68 = 27,919.32 : x
  2. Step 2: Convert to fraction form
    32,314.92/48,472.68 = 27,919.32/x
  3. Step 3: Cross multiply
    32,314.92x = 48,472.68 × 27,919.32
  4. Step 4: Simplify right side
    32,314.92x = 1,353,324,264.18
  5. Step 5: Solve for x
    x = 1,353,324,264.18/32,314.92
  6. Step 6: Final answer
    x = 41,879.24

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1.5x scale

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.