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Finding the Fourth Proportional to 38,215.32, 52,754.94 and 25,489.68

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Solution

The fourth proportional to 38,215.32, 52,754.94 and 25,489.68 is: 35,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,215.32 : 52,754.94 = 25,489.68 : x
  2. Step 2: Convert to fraction form
    38,215.32/52,754.94 = 25,489.68/x
  3. Step 3: Cross multiply
    38,215.32x = 52,754.94 × 25,489.68
  4. Step 4: Simplify right side
    38,215.32x = 1,344,706,539.02
  5. Step 5: Solve for x
    x = 1,344,706,539.02/38,215.32
  6. Step 6: Final answer
    x = 35,187.63

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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.