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Finding the Fourth Proportional to 33,136.50, 49,703.12 and 12,358.38

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Solution

The fourth proportional to 33,136.50, 49,703.12 and 12,358.38 is: 18,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,136.50 : 49,703.12 = 12,358.38 : x
  2. Step 2: Convert to fraction form
    33,136.50/49,703.12 = 12,358.38/x
  3. Step 3: Cross multiply
    33,136.50x = 49,703.12 × 12,358.38
  4. Step 4: Simplify right side
    33,136.50x = 614,249,795.63
  5. Step 5: Solve for x
    x = 614,249,795.63/33,136.50
  6. Step 6: Final answer
    x = 18,536.96

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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.