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Finding the Fourth Proportional to 27,559.50, 41,345.73 and 9,091.50

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Solution

The fourth proportional to 27,559.50, 41,345.73 and 9,091.50 is: 13,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,559.50 : 41,345.73 = 9,091.50 : x
  2. Step 2: Convert to fraction form
    27,559.50/41,345.73 = 9,091.50/x
  3. Step 3: Cross multiply
    27,559.50x = 41,345.73 × 9,091.50
  4. Step 4: Simplify right side
    27,559.50x = 375,894,704.30
  5. Step 5: Solve for x
    x = 375,894,704.30/27,559.50
  6. Step 6: Final answer
    x = 13,639.39

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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.