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Finding the Fourth Proportional to 32,950.14, 49,418.73 and 8,934

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Solution

The fourth proportional to 32,950.14, 49,418.73 and 8,934 is: 13,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.14 : 49,418.73 = 8,934 : x
  2. Step 2: Convert to fraction form
    32,950.14/49,418.73 = 8,934/x
  3. Step 3: Cross multiply
    32,950.14x = 49,418.73 × 8,934
  4. Step 4: Simplify right side
    32,950.14x = 441,506,933.82
  5. Step 5: Solve for x
    x = 441,506,933.82/32,950.14
  6. Step 6: Final answer
    x = 13,399.24

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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.