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Finding the Fourth Proportional to 37,094.54, 55,596.16 and 21,097.50

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Solution

The fourth proportional to 37,094.54, 55,596.16 and 21,097.50 is: 31,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,094.54 : 55,596.16 = 21,097.50 : x
  2. Step 2: Convert to fraction form
    37,094.54/55,596.16 = 21,097.50/x
  3. Step 3: Cross multiply
    37,094.54x = 55,596.16 × 21,097.50
  4. Step 4: Simplify right side
    37,094.54x = 1,172,940,331.92
  5. Step 5: Solve for x
    x = 1,172,940,331.92/37,094.54
  6. Step 6: Final answer
    x = 31,620.30

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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.