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Finding the Fourth Proportional to 32,992.38, 49,492.98 and 10,800

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Solution

The fourth proportional to 32,992.38, 49,492.98 and 10,800 is: 16,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.38 : 49,492.98 = 10,800 : x
  2. Step 2: Convert to fraction form
    32,992.38/49,492.98 = 10,800/x
  3. Step 3: Cross multiply
    32,992.38x = 49,492.98 × 10,800
  4. Step 4: Simplify right side
    32,992.38x = 534,524,184.00
  5. Step 5: Solve for x
    x = 534,524,184.00/32,992.38
  6. Step 6: Final answer
    x = 16,201.44

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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.