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Finding the Fourth Proportional to 32,991.93, 49,491.68 and 9,618.36

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Solution

The fourth proportional to 32,991.93, 49,491.68 and 9,618.36 is: 14,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.93 : 49,491.68 = 9,618.36 : x
  2. Step 2: Convert to fraction form
    32,991.93/49,491.68 = 9,618.36/x
  3. Step 3: Cross multiply
    32,991.93x = 49,491.68 × 9,618.36
  4. Step 4: Simplify right side
    32,991.93x = 476,028,747.15
  5. Step 5: Solve for x
    x = 476,028,747.15/32,991.93
  6. Step 6: Final answer
    x = 14,428.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.