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Finding the Fourth Proportional to 32,753, 45,206.44 and 20,814

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Solution

The fourth proportional to 32,753, 45,206.44 and 20,814 is: 28,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753 : 45,206.44 = 20,814 : x
  2. Step 2: Convert to fraction form
    32,753/45,206.44 = 20,814/x
  3. Step 3: Cross multiply
    32,753x = 45,206.44 × 20,814
  4. Step 4: Simplify right side
    32,753x = 940,926,842.16
  5. Step 5: Solve for x
    x = 940,926,842.16/32,753
  6. Step 6: Final answer
    x = 28,727.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.