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Finding the Fourth Proportional to 32,079.71, 48,105.81 and 11,021.87

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Solution

The fourth proportional to 32,079.71, 48,105.81 and 11,021.87 is: 16,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,079.71 : 48,105.81 = 11,021.87 : x
  2. Step 2: Convert to fraction form
    32,079.71/48,105.81 = 11,021.87/x
  3. Step 3: Cross multiply
    32,079.71x = 48,105.81 × 11,021.87
  4. Step 4: Simplify right side
    32,079.71x = 530,215,984.06
  5. Step 5: Solve for x
    x = 530,215,984.06/32,079.71
  6. Step 6: Final answer
    x = 16,528.08

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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.