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Finding the Fourth Proportional to 27,437.75, 41,159.38 and 7,447.58

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Solution

The fourth proportional to 27,437.75, 41,159.38 and 7,447.58 is: 11,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,437.75 : 41,159.38 = 7,447.58 : x
  2. Step 2: Convert to fraction form
    27,437.75/41,159.38 = 7,447.58/x
  3. Step 3: Cross multiply
    27,437.75x = 41,159.38 × 7,447.58
  4. Step 4: Simplify right side
    27,437.75x = 306,537,740.14
  5. Step 5: Solve for x
    x = 306,537,740.14/27,437.75
  6. Step 6: Final answer
    x = 11,172.11

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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.