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Finding the Fourth Proportional to 27,700.36, 41,557.68 and 7,980.46

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Solution

The fourth proportional to 27,700.36, 41,557.68 and 7,980.46 is: 11,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.36 : 41,557.68 = 7,980.46 : x
  2. Step 2: Convert to fraction form
    27,700.36/41,557.68 = 7,980.46/x
  3. Step 3: Cross multiply
    27,700.36x = 41,557.68 × 7,980.46
  4. Step 4: Simplify right side
    27,700.36x = 331,649,402.93
  5. Step 5: Solve for x
    x = 331,649,402.93/27,700.36
  6. Step 6: Final answer
    x = 11,972.75

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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.