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Finding the Fourth Proportional to 30,136.50, 45,207.79 and 7,951.41

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Solution

The fourth proportional to 30,136.50, 45,207.79 and 7,951.41 is: 11,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136.50 : 45,207.79 = 7,951.41 : x
  2. Step 2: Convert to fraction form
    30,136.50/45,207.79 = 7,951.41/x
  3. Step 3: Cross multiply
    30,136.50x = 45,207.79 × 7,951.41
  4. Step 4: Simplify right side
    30,136.50x = 359,465,673.48
  5. Step 5: Solve for x
    x = 359,465,673.48/30,136.50
  6. Step 6: Final answer
    x = 11,927.92

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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.