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Finding the Fourth Proportional to 45,097.65, 62,214.89 and 27,182.07

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Solution

The fourth proportional to 45,097.65, 62,214.89 and 27,182.07 is: 37,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,097.65 : 62,214.89 = 27,182.07 : x
  2. Step 2: Convert to fraction form
    45,097.65/62,214.89 = 27,182.07/x
  3. Step 3: Cross multiply
    45,097.65x = 62,214.89 × 27,182.07
  4. Step 4: Simplify right side
    45,097.65x = 1,691,129,359.11
  5. Step 5: Solve for x
    x = 1,691,129,359.11/45,097.65
  6. Step 6: Final answer
    x = 37,499.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.