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Finding the Fourth Proportional to 37,305.86, 55,978.23 and 16,524.50

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Solution

The fourth proportional to 37,305.86, 55,978.23 and 16,524.50 is: 24,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,305.86 : 55,978.23 = 16,524.50 : x
  2. Step 2: Convert to fraction form
    37,305.86/55,978.23 = 16,524.50/x
  3. Step 3: Cross multiply
    37,305.86x = 55,978.23 × 16,524.50
  4. Step 4: Simplify right side
    37,305.86x = 925,012,261.64
  5. Step 5: Solve for x
    x = 925,012,261.64/37,305.86
  6. Step 6: Final answer
    x = 24,795.36

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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.