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Finding the Fourth Proportional to 122,275.84, 183,414 and 33,530.56

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Solution

The fourth proportional to 122,275.84, 183,414 and 33,530.56 is: 50,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,275.84 : 183,414 = 33,530.56 : x
  2. Step 2: Convert to fraction form
    122,275.84/183,414 = 33,530.56/x
  3. Step 3: Cross multiply
    122,275.84x = 183,414 × 33,530.56
  4. Step 4: Simplify right side
    122,275.84x = 6,149,974,131.84
  5. Step 5: Solve for x
    x = 6,149,974,131.84/122,275.84
  6. Step 6: Final answer
    x = 50,295.91

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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.