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Finding the Fourth Proportional to 32,914.76, 45,422.57 and 20,167.97

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Solution

The fourth proportional to 32,914.76, 45,422.57 and 20,167.97 is: 27,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914.76 : 45,422.57 = 20,167.97 : x
  2. Step 2: Convert to fraction form
    32,914.76/45,422.57 = 20,167.97/x
  3. Step 3: Cross multiply
    32,914.76x = 45,422.57 × 20,167.97
  4. Step 4: Simplify right side
    32,914.76x = 916,080,852.39
  5. Step 5: Solve for x
    x = 916,080,852.39/32,914.76
  6. Step 6: Final answer
    x = 27,831.92

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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.