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Finding the Fourth Proportional to 32,014.50, 48,022.02 and 11,238

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Solution

The fourth proportional to 32,014.50, 48,022.02 and 11,238 is: 16,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.50 : 48,022.02 = 11,238 : x
  2. Step 2: Convert to fraction form
    32,014.50/48,022.02 = 11,238/x
  3. Step 3: Cross multiply
    32,014.50x = 48,022.02 × 11,238
  4. Step 4: Simplify right side
    32,014.50x = 539,671,460.76
  5. Step 5: Solve for x
    x = 539,671,460.76/32,014.50
  6. Step 6: Final answer
    x = 16,857.09

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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.