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Finding the Fourth Proportional to 82,292.96, 123,162.96 and 47,180

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Solution

The fourth proportional to 82,292.96, 123,162.96 and 47,180 is: 70,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,292.96 : 123,162.96 = 47,180 : x
  2. Step 2: Convert to fraction form
    82,292.96/123,162.96 = 47,180/x
  3. Step 3: Cross multiply
    82,292.96x = 123,162.96 × 47,180
  4. Step 4: Simplify right side
    82,292.96x = 5,810,828,452.80
  5. Step 5: Solve for x
    x = 5,810,828,452.80/82,292.96
  6. Step 6: Final answer
    x = 70,611.49

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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.