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Finding the Fourth Proportional to 32,981.94, 49,468.11 and 10,796.19

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Solution

The fourth proportional to 32,981.94, 49,468.11 and 10,796.19 is: 16,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,981.94 : 49,468.11 = 10,796.19 : x
  2. Step 2: Convert to fraction form
    32,981.94/49,468.11 = 10,796.19/x
  3. Step 3: Cross multiply
    32,981.94x = 49,468.11 × 10,796.19
  4. Step 4: Simplify right side
    32,981.94x = 534,067,114.50
  5. Step 5: Solve for x
    x = 534,067,114.50/32,981.94
  6. Step 6: Final answer
    x = 16,192.71

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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.