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Finding the Fourth Proportional to 37,744, 52,086.72 and 20,980.32

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Solution

The fourth proportional to 37,744, 52,086.72 and 20,980.32 is: 28,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,744 : 52,086.72 = 20,980.32 : x
  2. Step 2: Convert to fraction form
    37,744/52,086.72 = 20,980.32/x
  3. Step 3: Cross multiply
    37,744x = 52,086.72 × 20,980.32
  4. Step 4: Simplify right side
    37,744x = 1,092,796,053.35
  5. Step 5: Solve for x
    x = 1,092,796,053.35/37,744
  6. Step 6: Final answer
    x = 28,952.84

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