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Finding the Fourth Proportional to 37,783.54, 56,597.50 and 22,163.50

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Solution

The fourth proportional to 37,783.54, 56,597.50 and 22,163.50 is: 33,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783.54 : 56,597.50 = 22,163.50 : x
  2. Step 2: Convert to fraction form
    37,783.54/56,597.50 = 22,163.50/x
  3. Step 3: Cross multiply
    37,783.54x = 56,597.50 × 22,163.50
  4. Step 4: Simplify right side
    37,783.54x = 1,254,398,691.25
  5. Step 5: Solve for x
    x = 1,254,398,691.25/37,783.54
  6. Step 6: Final answer
    x = 33,199.61

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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.