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Finding the Fourth Proportional to 71,084.51, 106,657.89 and 33,671.28

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Solution

The fourth proportional to 71,084.51, 106,657.89 and 33,671.28 is: 50,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084.51 : 106,657.89 = 33,671.28 : x
  2. Step 2: Convert to fraction form
    71,084.51/106,657.89 = 33,671.28/x
  3. Step 3: Cross multiply
    71,084.51x = 106,657.89 × 33,671.28
  4. Step 4: Simplify right side
    71,084.51x = 3,591,307,510.04
  5. Step 5: Solve for x
    x = 3,591,307,510.04/71,084.51
  6. Step 6: Final answer
    x = 50,521.66

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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.