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Finding the Fourth Proportional to 52,677.44, 72,743.64 and 33,847.64

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Solution

The fourth proportional to 52,677.44, 72,743.64 and 33,847.64 is: 46,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,677.44 : 72,743.64 = 33,847.64 : x
  2. Step 2: Convert to fraction form
    52,677.44/72,743.64 = 33,847.64/x
  3. Step 3: Cross multiply
    52,677.44x = 72,743.64 × 33,847.64
  4. Step 4: Simplify right side
    52,677.44x = 2,462,200,539.01
  5. Step 5: Solve for x
    x = 2,462,200,539.01/52,677.44
  6. Step 6: Final answer
    x = 46,741.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.