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Finding the Fourth Proportional to 53,072.64, 79,617.60 and 16,128

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Solution

The fourth proportional to 53,072.64, 79,617.60 and 16,128 is: 24,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,072.64 : 79,617.60 = 16,128 : x
  2. Step 2: Convert to fraction form
    53,072.64/79,617.60 = 16,128/x
  3. Step 3: Cross multiply
    53,072.64x = 79,617.60 × 16,128
  4. Step 4: Simplify right side
    53,072.64x = 1,284,072,652.80
  5. Step 5: Solve for x
    x = 1,284,072,652.80/53,072.64
  6. Step 6: Final answer
    x = 24,194.63

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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.