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Finding the Fourth Proportional to 74,102.67, 111,074.36 and 32,002.65

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Solution

The fourth proportional to 74,102.67, 111,074.36 and 32,002.65 is: 47,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,102.67 : 111,074.36 = 32,002.65 : x
  2. Step 2: Convert to fraction form
    74,102.67/111,074.36 = 32,002.65/x
  3. Step 3: Cross multiply
    74,102.67x = 111,074.36 × 32,002.65
  4. Step 4: Simplify right side
    74,102.67x = 3,554,673,707.04
  5. Step 5: Solve for x
    x = 3,554,673,707.04/74,102.67
  6. Step 6: Final answer
    x = 47,969.58

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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.