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Finding the Fourth Proportional to 74,389.50, 111,584.86 and 27,642.38

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Solution

The fourth proportional to 74,389.50, 111,584.86 and 27,642.38 is: 41,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,389.50 : 111,584.86 = 27,642.38 : x
  2. Step 2: Convert to fraction form
    74,389.50/111,584.86 = 27,642.38/x
  3. Step 3: Cross multiply
    74,389.50x = 111,584.86 × 27,642.38
  4. Step 4: Simplify right side
    74,389.50x = 3,084,470,475.34
  5. Step 5: Solve for x
    x = 3,084,470,475.34/74,389.50
  6. Step 6: Final answer
    x = 41,463.79

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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.