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Finding the Fourth Proportional to 49,536.96, 74,178.57 and 27,325.65

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Solution

The fourth proportional to 49,536.96, 74,178.57 and 27,325.65 is: 40,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,536.96 : 74,178.57 = 27,325.65 : x
  2. Step 2: Convert to fraction form
    49,536.96/74,178.57 = 27,325.65/x
  3. Step 3: Cross multiply
    49,536.96x = 74,178.57 × 27,325.65
  4. Step 4: Simplify right side
    49,536.96x = 2,026,977,641.32
  5. Step 5: Solve for x
    x = 2,026,977,641.32/49,536.96
  6. Step 6: Final answer
    x = 40,918.49

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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.