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Finding the Fourth Proportional to 38,005.20, 57,007.80 and 37,486.80

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Solution

The fourth proportional to 38,005.20, 57,007.80 and 37,486.80 is: 56,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005.20 : 57,007.80 = 37,486.80 : x
  2. Step 2: Convert to fraction form
    38,005.20/57,007.80 = 37,486.80/x
  3. Step 3: Cross multiply
    38,005.20x = 57,007.80 × 37,486.80
  4. Step 4: Simplify right side
    38,005.20x = 2,137,039,997.04
  5. Step 5: Solve for x
    x = 2,137,039,997.04/38,005.20
  6. Step 6: Final answer
    x = 56,230.20

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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.