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Finding the Fourth Proportional to 33,416, 50,124.62 and 15,636.80

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Solution

The fourth proportional to 33,416, 50,124.62 and 15,636.80 is: 23,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,416 : 50,124.62 = 15,636.80 : x
  2. Step 2: Convert to fraction form
    33,416/50,124.62 = 15,636.80/x
  3. Step 3: Cross multiply
    33,416x = 50,124.62 × 15,636.80
  4. Step 4: Simplify right side
    33,416x = 783,788,658.02
  5. Step 5: Solve for x
    x = 783,788,658.02/33,416
  6. Step 6: Final answer
    x = 23,455.49

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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.