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Finding the Fourth Proportional to 47,584.67, 71,299.14 and 28,807.80

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Solution

The fourth proportional to 47,584.67, 71,299.14 and 28,807.80 is: 43,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,584.67 : 71,299.14 = 28,807.80 : x
  2. Step 2: Convert to fraction form
    47,584.67/71,299.14 = 28,807.80/x
  3. Step 3: Cross multiply
    47,584.67x = 71,299.14 × 28,807.80
  4. Step 4: Simplify right side
    47,584.67x = 2,053,970,864.76
  5. Step 5: Solve for x
    x = 2,053,970,864.76/47,584.67
  6. Step 6: Final answer
    x = 43,164.55

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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.