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Finding the Fourth Proportional to 49,093.11, 73,639.98 and 20,989.50

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Solution

The fourth proportional to 49,093.11, 73,639.98 and 20,989.50 is: 31,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,093.11 : 73,639.98 = 20,989.50 : x
  2. Step 2: Convert to fraction form
    49,093.11/73,639.98 = 20,989.50/x
  3. Step 3: Cross multiply
    49,093.11x = 73,639.98 × 20,989.50
  4. Step 4: Simplify right side
    49,093.11x = 1,545,666,360.21
  5. Step 5: Solve for x
    x = 1,545,666,360.21/49,093.11
  6. Step 6: Final answer
    x = 31,484.38

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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.