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Finding the Fourth Proportional to 40,538.32, 60,814 and 17,164.96

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Solution

The fourth proportional to 40,538.32, 60,814 and 17,164.96 is: 25,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,538.32 : 60,814 = 17,164.96 : x
  2. Step 2: Convert to fraction form
    40,538.32/60,814 = 17,164.96/x
  3. Step 3: Cross multiply
    40,538.32x = 60,814 × 17,164.96
  4. Step 4: Simplify right side
    40,538.32x = 1,043,869,877.44
  5. Step 5: Solve for x
    x = 1,043,869,877.44/40,538.32
  6. Step 6: Final answer
    x = 25,750.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.