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Finding the Fourth Proportional to 37,147.50, 55,730.25 and 21,362.63

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Solution

The fourth proportional to 37,147.50, 55,730.25 and 21,362.63 is: 32,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,147.50 : 55,730.25 = 21,362.63 : x
  2. Step 2: Convert to fraction form
    37,147.50/55,730.25 = 21,362.63/x
  3. Step 3: Cross multiply
    37,147.50x = 55,730.25 × 21,362.63
  4. Step 4: Simplify right side
    37,147.50x = 1,190,544,431.91
  5. Step 5: Solve for x
    x = 1,190,544,431.91/37,147.50
  6. Step 6: Final answer
    x = 32,049.11

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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.