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Finding the Fourth Proportional to 48,676.64, 73,003.80 and 13,619.84

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Solution

The fourth proportional to 48,676.64, 73,003.80 and 13,619.84 is: 20,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,676.64 : 73,003.80 = 13,619.84 : x
  2. Step 2: Convert to fraction form
    48,676.64/73,003.80 = 13,619.84/x
  3. Step 3: Cross multiply
    48,676.64x = 73,003.80 × 13,619.84
  4. Step 4: Simplify right side
    48,676.64x = 994,300,075.39
  5. Step 5: Solve for x
    x = 994,300,075.39/48,676.64
  6. Step 6: Final answer
    x = 20,426.64

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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.