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Finding the Fourth Proportional to 37,180, 55,759.06 and 10,878.49

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Solution

The fourth proportional to 37,180, 55,759.06 and 10,878.49 is: 16,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,180 : 55,759.06 = 10,878.49 : x
  2. Step 2: Convert to fraction form
    37,180/55,759.06 = 10,878.49/x
  3. Step 3: Cross multiply
    37,180x = 55,759.06 × 10,878.49
  4. Step 4: Simplify right side
    37,180x = 606,574,376.62
  5. Step 5: Solve for x
    x = 606,574,376.62/37,180
  6. Step 6: Final answer
    x = 16,314.53

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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.