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Finding the Fourth Proportional to 32,786.16, 49,162.16 and 11,718.08

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Solution

The fourth proportional to 32,786.16, 49,162.16 and 11,718.08 is: 17,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786.16 : 49,162.16 = 11,718.08 : x
  2. Step 2: Convert to fraction form
    32,786.16/49,162.16 = 11,718.08/x
  3. Step 3: Cross multiply
    32,786.16x = 49,162.16 × 11,718.08
  4. Step 4: Simplify right side
    32,786.16x = 576,086,123.85
  5. Step 5: Solve for x
    x = 576,086,123.85/32,786.16
  6. Step 6: Final answer
    x = 17,571.02

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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.