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Finding the Fourth Proportional to 32,959.67, 49,447.89 and 9,586.10

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Solution

The fourth proportional to 32,959.67, 49,447.89 and 9,586.10 is: 14,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.67 : 49,447.89 = 9,586.10 : x
  2. Step 2: Convert to fraction form
    32,959.67/49,447.89 = 9,586.10/x
  3. Step 3: Cross multiply
    32,959.67x = 49,447.89 × 9,586.10
  4. Step 4: Simplify right side
    32,959.67x = 474,012,171.09
  5. Step 5: Solve for x
    x = 474,012,171.09/32,959.67
  6. Step 6: Final answer
    x = 14,381.58

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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.