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Finding the Fourth Proportional to 49,331.60, 73,998.10 and 16,051.84

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Solution

The fourth proportional to 49,331.60, 73,998.10 and 16,051.84 is: 24,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,331.60 : 73,998.10 = 16,051.84 : x
  2. Step 2: Convert to fraction form
    49,331.60/73,998.10 = 16,051.84/x
  3. Step 3: Cross multiply
    49,331.60x = 73,998.10 × 16,051.84
  4. Step 4: Simplify right side
    49,331.60x = 1,187,805,661.50
  5. Step 5: Solve for x
    x = 1,187,805,661.50/49,331.60
  6. Step 6: Final answer
    x = 24,077.99

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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.