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Finding the Fourth Proportional to 99,814.59, 149,701.64 and 36,613.20

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Solution

The fourth proportional to 99,814.59, 149,701.64 and 36,613.20 is: 54,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,814.59 : 149,701.64 = 36,613.20 : x
  2. Step 2: Convert to fraction form
    99,814.59/149,701.64 = 36,613.20/x
  3. Step 3: Cross multiply
    99,814.59x = 149,701.64 × 36,613.20
  4. Step 4: Simplify right side
    99,814.59x = 5,481,056,085.65
  5. Step 5: Solve for x
    x = 5,481,056,085.65/99,814.59
  6. Step 6: Final answer
    x = 54,912.37

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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.