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Finding the Fourth Proportional to 123,476.88, 185,227.71 and 33,521.11

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Solution

The fourth proportional to 123,476.88, 185,227.71 and 33,521.11 is: 50,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,476.88 : 185,227.71 = 33,521.11 : x
  2. Step 2: Convert to fraction form
    123,476.88/185,227.71 = 33,521.11/x
  3. Step 3: Cross multiply
    123,476.88x = 185,227.71 × 33,521.11
  4. Step 4: Simplify right side
    123,476.88x = 6,209,038,441.96
  5. Step 5: Solve for x
    x = 6,209,038,441.96/123,476.88
  6. Step 6: Final answer
    x = 50,285.03

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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.