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Finding the Fourth Proportional to 37,538.64, 56,323.60 and 16,467.80

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Solution

The fourth proportional to 37,538.64, 56,323.60 and 16,467.80 is: 24,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,538.64 : 56,323.60 = 16,467.80 : x
  2. Step 2: Convert to fraction form
    37,538.64/56,323.60 = 16,467.80/x
  3. Step 3: Cross multiply
    37,538.64x = 56,323.60 × 16,467.80
  4. Step 4: Simplify right side
    37,538.64x = 927,525,697.74
  5. Step 5: Solve for x
    x = 927,525,697.74/37,538.64
  6. Step 6: Final answer
    x = 24,708.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.