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Finding the Fourth Proportional to 37,698.62, 51,978.38 and 32,584.92

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Solution

The fourth proportional to 37,698.62, 51,978.38 and 32,584.92 is: 44,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,698.62 : 51,978.38 = 32,584.92 : x
  2. Step 2: Convert to fraction form
    37,698.62/51,978.38 = 32,584.92/x
  3. Step 3: Cross multiply
    37,698.62x = 51,978.38 × 32,584.92
  4. Step 4: Simplify right side
    37,698.62x = 1,693,711,354.03
  5. Step 5: Solve for x
    x = 1,693,711,354.03/37,698.62
  6. Step 6: Final answer
    x = 44,927.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.