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Finding the Fourth Proportional to 49,149, 73,723.50 and 16,317

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Solution

The fourth proportional to 49,149, 73,723.50 and 16,317 is: 24,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,149 : 73,723.50 = 16,317 : x
  2. Step 2: Convert to fraction form
    49,149/73,723.50 = 16,317/x
  3. Step 3: Cross multiply
    49,149x = 73,723.50 × 16,317
  4. Step 4: Simplify right side
    49,149x = 1,202,946,349.50
  5. Step 5: Solve for x
    x = 1,202,946,349.50/49,149
  6. Step 6: Final answer
    x = 24,475.50

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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.