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Finding the Fourth Proportional to 37,205.60, 55,743.60 and 32,021.60

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Solution

The fourth proportional to 37,205.60, 55,743.60 and 32,021.60 is: 47,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.60 : 55,743.60 = 32,021.60 : x
  2. Step 2: Convert to fraction form
    37,205.60/55,743.60 = 32,021.60/x
  3. Step 3: Cross multiply
    37,205.60x = 55,743.60 × 32,021.60
  4. Step 4: Simplify right side
    37,205.60x = 1,784,999,261.76
  5. Step 5: Solve for x
    x = 1,784,999,261.76/37,205.60
  6. Step 6: Final answer
    x = 47,976.63

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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.