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Finding the Fourth Proportional to 49,314.50, 73,934.82 and 16,014.68

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Solution

The fourth proportional to 49,314.50, 73,934.82 and 16,014.68 is: 24,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,314.50 : 73,934.82 = 16,014.68 : x
  2. Step 2: Convert to fraction form
    49,314.50/73,934.82 = 16,014.68/x
  3. Step 3: Cross multiply
    49,314.50x = 73,934.82 × 16,014.68
  4. Step 4: Simplify right side
    49,314.50x = 1,184,042,483.16
  5. Step 5: Solve for x
    x = 1,184,042,483.16/49,314.50
  6. Step 6: Final answer
    x = 24,010.03

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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.