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Finding the Fourth Proportional to 32,855.93, 49,278.49 and 9,165.09

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Solution

The fourth proportional to 32,855.93, 49,278.49 and 9,165.09 is: 13,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,855.93 : 49,278.49 = 9,165.09 : x
  2. Step 2: Convert to fraction form
    32,855.93/49,278.49 = 9,165.09/x
  3. Step 3: Cross multiply
    32,855.93x = 49,278.49 × 9,165.09
  4. Step 4: Simplify right side
    32,855.93x = 451,641,773.00
  5. Step 5: Solve for x
    x = 451,641,773.00/32,855.93
  6. Step 6: Final answer
    x = 13,746.13

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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.