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Finding the Fourth Proportional to 121,336, 182,004 and 33,784

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Solution

The fourth proportional to 121,336, 182,004 and 33,784 is: 50,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,336 : 182,004 = 33,784 : x
  2. Step 2: Convert to fraction form
    121,336/182,004 = 33,784/x
  3. Step 3: Cross multiply
    121,336x = 182,004 × 33,784
  4. Step 4: Simplify right side
    121,336x = 6,148,823,136
  5. Step 5: Solve for x
    x = 6,148,823,136/121,336
  6. Step 6: Final answer
    x = 50,676

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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.