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Finding the Fourth Proportional to 33,941.76, 50,906.88 and 9,312

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Solution

The fourth proportional to 33,941.76, 50,906.88 and 9,312 is: 13,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,941.76 : 50,906.88 = 9,312 : x
  2. Step 2: Convert to fraction form
    33,941.76/50,906.88 = 9,312/x
  3. Step 3: Cross multiply
    33,941.76x = 50,906.88 × 9,312
  4. Step 4: Simplify right side
    33,941.76x = 474,044,866.56
  5. Step 5: Solve for x
    x = 474,044,866.56/33,941.76
  6. Step 6: Final answer
    x = 13,966.42

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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.