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Finding the Fourth Proportional to 48,142.68, 71,842.38 and 42,311.28

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Solution

The fourth proportional to 48,142.68, 71,842.38 and 42,311.28 is: 63,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,142.68 : 71,842.38 = 42,311.28 : x
  2. Step 2: Convert to fraction form
    48,142.68/71,842.38 = 42,311.28/x
  3. Step 3: Cross multiply
    48,142.68x = 71,842.38 × 42,311.28
  4. Step 4: Simplify right side
    48,142.68x = 3,039,743,056.05
  5. Step 5: Solve for x
    x = 3,039,743,056.05/48,142.68
  6. Step 6: Final answer
    x = 63,140.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.