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Finding the Fourth Proportional to 55,706.84, 83,631.50 and 47,859.56

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Solution

The fourth proportional to 55,706.84, 83,631.50 and 47,859.56 is: 71,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,706.84 : 83,631.50 = 47,859.56 : x
  2. Step 2: Convert to fraction form
    55,706.84/83,631.50 = 47,859.56/x
  3. Step 3: Cross multiply
    55,706.84x = 83,631.50 × 47,859.56
  4. Step 4: Simplify right side
    55,706.84x = 4,002,566,792.14
  5. Step 5: Solve for x
    x = 4,002,566,792.14/55,706.84
  6. Step 6: Final answer
    x = 71,850.54

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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.