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Finding the Fourth Proportional to 32,451.84, 48,677.76 and 11,674.80

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Solution

The fourth proportional to 32,451.84, 48,677.76 and 11,674.80 is: 17,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,451.84 : 48,677.76 = 11,674.80 : x
  2. Step 2: Convert to fraction form
    32,451.84/48,677.76 = 11,674.80/x
  3. Step 3: Cross multiply
    32,451.84x = 48,677.76 × 11,674.80
  4. Step 4: Simplify right side
    32,451.84x = 568,303,112.45
  5. Step 5: Solve for x
    x = 568,303,112.45/32,451.84
  6. Step 6: Final answer
    x = 17,512.20

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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.