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Finding the Fourth Proportional to 32,761.17, 45,164.61 and 27,705.06

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Solution

The fourth proportional to 32,761.17, 45,164.61 and 27,705.06 is: 38,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761.17 : 45,164.61 = 27,705.06 : x
  2. Step 2: Convert to fraction form
    32,761.17/45,164.61 = 27,705.06/x
  3. Step 3: Cross multiply
    32,761.17x = 45,164.61 × 27,705.06
  4. Step 4: Simplify right side
    32,761.17x = 1,251,288,229.93
  5. Step 5: Solve for x
    x = 1,251,288,229.93/32,761.17
  6. Step 6: Final answer
    x = 38,194.25

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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.