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Finding the Fourth Proportional to 122,011.49, 183,011.84 and 33,265

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Solution

The fourth proportional to 122,011.49, 183,011.84 and 33,265 is: 49,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,011.49 : 183,011.84 = 33,265 : x
  2. Step 2: Convert to fraction form
    122,011.49/183,011.84 = 33,265/x
  3. Step 3: Cross multiply
    122,011.49x = 183,011.84 × 33,265
  4. Step 4: Simplify right side
    122,011.49x = 6,087,888,691.28
  5. Step 5: Solve for x
    x = 6,087,888,691.28/122,011.49
  6. Step 6: Final answer
    x = 49,896.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.