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Finding the Fourth Proportional to 54,489, 75,200.94 and 32,990.61

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Solution

The fourth proportional to 54,489, 75,200.94 and 32,990.61 is: 45,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,489 : 75,200.94 = 32,990.61 : x
  2. Step 2: Convert to fraction form
    54,489/75,200.94 = 32,990.61/x
  3. Step 3: Cross multiply
    54,489x = 75,200.94 × 32,990.61
  4. Step 4: Simplify right side
    54,489x = 2,480,924,883.17
  5. Step 5: Solve for x
    x = 2,480,924,883.17/54,489
  6. Step 6: Final answer
    x = 45,530.75

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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.