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Finding the Fourth Proportional to 49,101.84, 73,662.84 and 15,811.92

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Solution

The fourth proportional to 49,101.84, 73,662.84 and 15,811.92 is: 23,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101.84 : 73,662.84 = 15,811.92 : x
  2. Step 2: Convert to fraction form
    49,101.84/73,662.84 = 15,811.92/x
  3. Step 3: Cross multiply
    49,101.84x = 73,662.84 × 15,811.92
  4. Step 4: Simplify right side
    49,101.84x = 1,164,750,933.05
  5. Step 5: Solve for x
    x = 1,164,750,933.05/49,101.84
  6. Step 6: Final answer
    x = 23,721.13

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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.