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Finding the Fourth Proportional to 32,189.52, 48,282.12 and 8,814

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Solution

The fourth proportional to 32,189.52, 48,282.12 and 8,814 is: 13,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.52 : 48,282.12 = 8,814 : x
  2. Step 2: Convert to fraction form
    32,189.52/48,282.12 = 8,814/x
  3. Step 3: Cross multiply
    32,189.52x = 48,282.12 × 8,814
  4. Step 4: Simplify right side
    32,189.52x = 425,558,605.68
  5. Step 5: Solve for x
    x = 425,558,605.68/32,189.52
  6. Step 6: Final answer
    x = 13,220.41

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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.