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Finding the Fourth Proportional to 48,761.68, 73,142.50 and 17,164.30

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Solution

The fourth proportional to 48,761.68, 73,142.50 and 17,164.30 is: 25,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,761.68 : 73,142.50 = 17,164.30 : x
  2. Step 2: Convert to fraction form
    48,761.68/73,142.50 = 17,164.30/x
  3. Step 3: Cross multiply
    48,761.68x = 73,142.50 × 17,164.30
  4. Step 4: Simplify right side
    48,761.68x = 1,255,439,812.75
  5. Step 5: Solve for x
    x = 1,255,439,812.75/48,761.68
  6. Step 6: Final answer
    x = 25,746.44

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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.