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Finding the Fourth Proportional to 55,706.80, 83,634.36 and 32,350

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Solution

The fourth proportional to 55,706.80, 83,634.36 and 32,350 is: 48,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,706.80 : 83,634.36 = 32,350 : x
  2. Step 2: Convert to fraction form
    55,706.80/83,634.36 = 32,350/x
  3. Step 3: Cross multiply
    55,706.80x = 83,634.36 × 32,350
  4. Step 4: Simplify right side
    55,706.80x = 2,705,571,546
  5. Step 5: Solve for x
    x = 2,705,571,546/55,706.80
  6. Step 6: Final answer
    x = 48,568.07

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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.