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Finding the Fourth Proportional to 32,962.31, 49,446.50 and 10,775.81

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Solution

The fourth proportional to 32,962.31, 49,446.50 and 10,775.81 is: 16,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.31 : 49,446.50 = 10,775.81 : x
  2. Step 2: Convert to fraction form
    32,962.31/49,446.50 = 10,775.81/x
  3. Step 3: Cross multiply
    32,962.31x = 49,446.50 × 10,775.81
  4. Step 4: Simplify right side
    32,962.31x = 532,825,788.05
  5. Step 5: Solve for x
    x = 532,825,788.05/32,962.31
  6. Step 6: Final answer
    x = 16,164.70

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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.