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Finding the Fourth Proportional to 32,677.35, 49,022.40 and 10,489.02

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Solution

The fourth proportional to 32,677.35, 49,022.40 and 10,489.02 is: 15,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.35 : 49,022.40 = 10,489.02 : x
  2. Step 2: Convert to fraction form
    32,677.35/49,022.40 = 10,489.02/x
  3. Step 3: Cross multiply
    32,677.35x = 49,022.40 × 10,489.02
  4. Step 4: Simplify right side
    32,677.35x = 514,196,934.05
  5. Step 5: Solve for x
    x = 514,196,934.05/32,677.35
  6. Step 6: Final answer
    x = 15,735.58

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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.