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Finding the Fourth Proportional to 33,716, 50,574 and 9,092

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Solution

The fourth proportional to 33,716, 50,574 and 9,092 is: 13,638

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,716 : 50,574 = 9,092 : x
  2. Step 2: Convert to fraction form
    33,716/50,574 = 9,092/x
  3. Step 3: Cross multiply
    33,716x = 50,574 × 9,092
  4. Step 4: Simplify right side
    33,716x = 459,818,808
  5. Step 5: Solve for x
    x = 459,818,808/33,716
  6. Step 6: Final answer
    x = 13,638

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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.