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Finding the Fourth Proportional to 45,729.64, 68,602.62 and 16,164.64

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Solution

The fourth proportional to 45,729.64, 68,602.62 and 16,164.64 is: 24,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,729.64 : 68,602.62 = 16,164.64 : x
  2. Step 2: Convert to fraction form
    45,729.64/68,602.62 = 16,164.64/x
  3. Step 3: Cross multiply
    45,729.64x = 68,602.62 × 16,164.64
  4. Step 4: Simplify right side
    45,729.64x = 1,108,936,655.36
  5. Step 5: Solve for x
    x = 1,108,936,655.36/45,729.64
  6. Step 6: Final answer
    x = 24,249.84

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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.