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Finding the Fourth Proportional to 27,552.44, 41,322.45 and 7,830.56

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Solution

The fourth proportional to 27,552.44, 41,322.45 and 7,830.56 is: 11,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,552.44 : 41,322.45 = 7,830.56 : x
  2. Step 2: Convert to fraction form
    27,552.44/41,322.45 = 7,830.56/x
  3. Step 3: Cross multiply
    27,552.44x = 41,322.45 × 7,830.56
  4. Step 4: Simplify right side
    27,552.44x = 323,577,924.07
  5. Step 5: Solve for x
    x = 323,577,924.07/27,552.44
  6. Step 6: Final answer
    x = 11,744.08

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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.