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Finding the Fourth Proportional to 32,758.83, 49,146.75 and 9,387.09

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Solution

The fourth proportional to 32,758.83, 49,146.75 and 9,387.09 is: 14,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,758.83 : 49,146.75 = 9,387.09 : x
  2. Step 2: Convert to fraction form
    32,758.83/49,146.75 = 9,387.09/x
  3. Step 3: Cross multiply
    32,758.83x = 49,146.75 × 9,387.09
  4. Step 4: Simplify right side
    32,758.83x = 461,344,965.46
  5. Step 5: Solve for x
    x = 461,344,965.46/32,758.83
  6. Step 6: Final answer
    x = 14,083.07

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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.