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Finding the Fourth Proportional to 38,068.56, 57,098.74 and 9,991.44

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Solution

The fourth proportional to 38,068.56, 57,098.74 and 9,991.44 is: 14,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,068.56 : 57,098.74 = 9,991.44 : x
  2. Step 2: Convert to fraction form
    38,068.56/57,098.74 = 9,991.44/x
  3. Step 3: Cross multiply
    38,068.56x = 57,098.74 × 9,991.44
  4. Step 4: Simplify right side
    38,068.56x = 570,498,634.79
  5. Step 5: Solve for x
    x = 570,498,634.79/38,068.56
  6. Step 6: Final answer
    x = 14,986.08

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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.