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Finding the Fourth Proportional to 35,393.94, 53,043.74 and 13,184.96

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Solution

The fourth proportional to 35,393.94, 53,043.74 and 13,184.96 is: 19,759.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,393.94 : 53,043.74 = 13,184.96 : x
  2. Step 2: Convert to fraction form
    35,393.94/53,043.74 = 13,184.96/x
  3. Step 3: Cross multiply
    35,393.94x = 53,043.74 × 13,184.96
  4. Step 4: Simplify right side
    35,393.94x = 699,379,259.01
  5. Step 5: Solve for x
    x = 699,379,259.01/35,393.94
  6. Step 6: Final answer
    x = 19,759.86

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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.